August 2001 arXiv papers — page 4

J. K. Freericks, V. Zlatic

We prove the Jonson-Mahan theorem for the thermopower of the Falicov-Kimball model by solving explicitly for the correlation functions in the large dimensional limit. We prove a similar result for the thermal conductivity. We separate the results for thermal transport into the pieces of the heat current that arise from the kinetic energy and those that arise

B. Schmittmann, M. Thies

Using Monte Carlo simulations and a mean-field theory, we study domain growth in a driven lattice gas. Mediated by a single vacancy, two species of particles (``charges'') unmix, so that a disordered initial configuration develops charge-segregated domains which grow logarithmically slowly. An order parameter is defined and shown to satisfy dynamic s

T. L. Gustavson, A. P. Chikkatur, A. E. Leanhardt, A. Gorlitz

We have transported gaseous Bose-Einstein condensates over distances up to 44 cm. This was accomplished by trapping the condensate in the focus of an infrared laser and translating the location of the laser focus with controlled acceleration. Condensates of order 1 million atoms were moved into an auxiliary chamber and loaded into a magnetic trap formed by a

S. Faßbender, M. Enderle, K. Knorr, J. D. Noh

Monolayers of the halomethane CF$_3$Br adsorbed on graphite have been investigated by x-ray diffraction. The layers crystallize in a commensurate triangular lattice. On cooling they approach a three-sublattice antiferroelectric pattern of the in-plane components of the dipole moments. The ordering is not consistent with a conventional phase transition, but p

A. O. Sousa, S. Moss de Oliveira, D. Stauffer

We use a simple model for biological ageing to study the mortality of the population, obtaining a good agreement with the Gompertz law. We also simulate the same model on a square lattice, considering different strategies of parental care. The results are in agreement with those obtained earlier with the more complicated Penna model for biological ageing. Fi

Xinyuan Zhao, David Vanderbilt

We have performed a first-principles study of the structural and vibrational properties of the three low-pressure (cubic, tetragonal, and especially monoclinic) phases of ZrO2, with special attention to the computation of the zone-center phonon modes and related dielectric properties. The calculations have been carried out within the local-density approximat

Yu. M. Zinoviev

We suggest the new definition of the magnetization. For the two - dimensional Ising model with the free boundary conditions we calculate any derivative of this magnetization for zero magnetic field.

M. Hofmann, T. Lorenz, A. Freimuth, G. S. Uhrig

In the low dimensional spin systems $SrCu_2(BO_3)_2$ and $CuGeO_3$ the thermal conductivities along different crystal directions show pronounced double-peak structures and strongly depend on magnetic fields. For $SrCu_2(BO_3)_2$ the experimental data can be described by a purely phononic heat current and resonant scattering of phonons by magnetic excitations

P. J. Hirschfeld, W. A. Atkinson

We review work on the problem of disorder in the 2D d-wave superconducting state, and show that the symmetries of the normal state and the disorder distribution are vital for understanding the low-energy behavior. Most previous theoretical results for the density of states (DOS) are reconciled by a combination of exact numerical solutions of the Bogoliubov-d

I. Terasaki

We prepared polycrystalline samples of NaCo2-xMxO4 substituted for the Co site by other 3d or 4d elements (M=Mn,Cu, Zn, Ru, Rh, and Pd). While some of the elements (M=Mn,Ru and Rh) act as a strong scatterer to give rise to a rapid increase in resistivity, the others (M=Cu, Zn and Pd) do not deteriorate the electric conduction of the host. Most unusually, the

A. Sherman, M. Schreiber

Hole and spin Green's functions of the two-dimensional t-J model of the Cu-O planes are calculated in an approximation which retains the rotation symmetry in the paramagnetic state and has no presumed magnetic ordering. In this approximation Green's functions are represented by continued fractions which are interrupted by decouplings with a vertex co

T. Takayanagi, M. Kogure, I. Terasaki

The out-of-plane dielectric constant of the parent insulator of the high-temperature superconductor Bi_2Sr_2(Dy,Er)Cu_2O_8 was measured and analysed from 80 to 300 K in the frequency range of 10^6-10^9 Hz. All the samples were found to show a fairly large value of 10-60, implying some kind of charge inhomogeneity in the CuO_2 plane. Considering that the supe

Wataru Souma, Yoshi Fujiwara, Hideaki Aoyama

We construct a model of wealth distribution, based on an interactive multiplicative stochastic process on static complex networks. Through numerical simulations we show that a decrease in the number of links discourages equality in wealth distribution, while the rewiring of links in small-world networks encourages it. Inequal distributions obey log-normal di

Claus Mischler, Walter Kob, Kurt Binder

We present the results of a classical molecular dynamic simulation as well as of an ab initio molecular dynamic simulation of an amorphous silica surface. In the case of the classical simulation we use the potential proposed by van Beest et al. (BKS) whereas the ab initio simulation is done with a Car-Parrinello method (CPMD). We find that the surfaces gener

Gergely Zarand, Boldizsar Janko

Starting from microscopic and symmetry considerations, we derive the Hamiltonian describing the exchange interaction between the localized Mn spins and the valence band holes in $Ga_{1-x}Mn_x As$. We find that due to the strong spin-orbit coupling in the valence band, this exchange interaction has a rather complex structure and generates a highly anisotropic

C. M. Newman, D. L. Stein

We prove the impossibility of recent attempts to decouple the Replica Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the existence of many thermodynamic (i.e., infinite-volume) pure states while preserving another signature RSB feature --- space filling relative domain walls between different finite-volume states. Thus revisions of

Masahiro Nagashima

The Press-Schechter (PS) formalism for mass functions of the gravitationally collapsed objects is reanalyzed. It has been suggested by many authors that the PS mass function agrees well with the mass function given by $N$-body simulations, while many too simple assumptions are contained in the formalism. In order to understand why the PS formalism works well

T. Fang, G. L. Bryan, Claude R. Canizares

Numerical simulations predict that a large number of baryons reside in intergalactic space at temperatures between 10^5-10^7 K. Highly-ionized metals, such as O VII and O VIII, are good tracers of this ``warm-hot intergalactic medium'', or WHIM. For collisionally-ionized gas, the ionization fraction of each ion peaks at some particular temperature (`

T. C. Weekes

The Very Energetic Radiation Imaging Telescope Array System (VERITAS) represents an important step forward in the study of extreme astrophysical processes in the universe. It combines the power of the atmospheric Cherenkov imaging technique using a large optical reflector with the power of stereoscopic observatories using arrays of separated telescopes looki

S. Trudolyubov, K. Borozdin, W. Priedhorsky

We study three transient X-ray sources, that were bright in the central region of M31 galaxy in the year 2000. Observations with Chandra and XMM-Newton allowed us for the first time in the history of X-ray astronomy, to build light curves of transient sources in M31 suitable for studying their variability on a time scale of months and, in some periods, weeks

P. Mazzotta, M. Markevitch, W. R. Forman, C. Jones

We present the Chandra observation of the cluster of galaxies MS 1455.0+2232. From previous ASCA and ROSAT observations, this cluster was identified as a ``relaxed'' cluster that hosts one of the most massive cooling flows detected. With higher angular resolution, the Chandra X-ray image shows the presence of two surface brightness edges on opposite

Christopher Palma, Steven R. Majewski, Kathryn V. Johnston

In numerous studies of the outer Galactic halo some evidence for accretion has been found. If the outer halo did form in part or wholly through merger events, we might expect to find coherent streams of stars and globular clusters following similar orbits as their parent objects, which are assumed to be present or former Milky Way dwarf satellite galaxies. W

Patrick Slane, Randall K. Smith, John P. Hughes, Robert Petre

G290.1-0.8 (MSH 11-61A) is a supernova remnant (SNR) whose X-ray morphology is centrally bright. However, unlike the class of X-ray composite SNRs whose centers are dominated by nonthermal emission, presumably driven by a central pulsar, we show that the X-ray emission from G290.1-0.8 is thermal in nature, placing the remnant in an emerging class which inclu

Jesús Maíz-Apellániz

The Sun is located in a low-density region of the interstellar medium partially filled with hot gas that is the likely result of several nearby supernova explosions within the last 10 Myr. Here we use astrometric data to show that part of the Scorpius-Centaurus OB association was located closer to the present position of the Sun 5-7 Myr ago than today. Evolu

Daniel W. A. Harvey, David J. Wilner, Charles J. Lada, Philip C. Myers

We present a near-infrared extinction study of the dark globule B335, a protostellar collapse candidate, using data from HST/NICMOS and the W.M. Keck Observatory. These data allow a new quantitative test of the "inside-out" collapse model previously proposed to explain molecular line profiles observed toward this region. We find that the shape of the

Li-Xin Li

A popular model for jet collimation is associated with the presence of a large-scale and predominantly toroidal magnetic field originating from the central engine (a star, a black hole, or an accretion disk). Besides the problem of how such a large-scale magnetic field is generated, in this model the jet suffers from the fatal long-wave mode kink magnetohydr

M. J. M. Marcha, A. Caccianiga, I. W. A. Browne, N. Jackson

This paper presents a new complete and well defined sample of Flat Spectrum Radio Sources (FSRS) selected from the CLASS survey with the further constraint of a bright (mag<17.5) optical counterpart. The sample has been designed to produce a large number of low-luminosity blazars in order to test the current unifying models in the low luminosity regime. In t

Patrick Hennebelle

We find exact and explicit solutions of the axisymmetric MHD equations of a self-gravitating polytropic gas. These solutions are able to describe a flat (uniform density) subsonic internal core, contracting homologously, of a collapsing cloud with aspherical pressure, aspherical gravitationnal potential, magnetic field and rotation. Two of the solutions desc

A. Caccianiga, M. J. M. Marcha, A. Thean, J. Dennett-Thorpe

We present and discuss the results of VLBI (EVN) observations of three low-luminosity (P(5 GHz)<10^25 W/Hz) Broad Emission Line AGNs carefully selected from a sample of flat spectrum radio sources (CLASS). Based on the total and the extended radio power at 5 GHz and at 1.4 GHz respectively, these objects should be technically classified as radio-quiet AGN an

Osamu Kaburaki

An analytic model is proposed for non-radiating accretion flows accompanied by up or down winds in a global magnetic field. Physical quantities in this model solution are written in variable-separated forms, and their radial parts are simple power law functions including one parameter for wind strength. Several, mathematically equivalent but physically diffe

Masaki Mori

Recent results of GeV and TeV observations of gamma-rays from the Universe are briefly reviewed. Topics include observational technique, diffuse gamma-rays, pulsars, unidentified sources, plerions, supernova remnants and AGNs.

Y. Tutui, Y. Sofue, M. Honma, T. Ichikawa

We have determined distances and Hubble ratios for galaxies at intermediate redshifts, cz=about 10,000 to 35,000 km/s, by applying the CO-line Tully-Fisher relation to our 12CO (J=1-0)-line observations using the Nobeyama 45-m telescope, and near-IR (NIR) photometry in the J and H bands using the 1.88-m telescope at Okayama Astrophysical Observatory. By aver

M. Nagashima, N. Gouda

We examined effects of the ultraviolet background radiation (UVB) on the colour--magnitude relation (CMR) of elliptical galaxies in clusters of galaxies in the hierarchical clustering scenario by using a semi-analytic model of galaxy formation. In our model the UVB photoionizes gas in dark haloes and suppresses the cooling of the diffuse hot gas onto galaxy

Maarten Schmidt

Using the Euclidean value of <V/Vmax> as a cosmological distance indicator, we derive the isotropic-equivalent characteristic peak luminosity of gamma-ray bursts both longer and shorter than 2 s. The short bursts have essentially the same characteristic peak luminosity of 0.6 x 10^51 erg (0.064s)^-1 as do the long bursts. This may apply also to bursts with d

M. R. Templeton, S. Basu, P. Demarque

We assess the potential of asteroseismology for determining the fundamental properties of individual $δ$ Scuti stars. We computed a grid of evolution and adiabatic pulsation models using the Yale Rotating Evolution Code to study the systematic changes in low-order ($\ell = 0, 1, 2,$ and 3) modes as functions of fundamental stellar properties. Changes to the

John L. Friedman, Koji Uryu, Masaru Shibata

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^α, heuristically, the generator of time-translations in a corotating frame. Systems that are stationary in this sense are not asymptotically flat, but have asymptotic behavior corresponding to equal amounts of ingoing and ou

Rajeev Gupta, G. Venketeswara Pai, A. K. Sood, T. V. Ramakrishnan

We report the evolution of the Raman active A_g phonon modes in the charge-ordered manganite Pr_{0.63}Ca_{0.37}MnO_{3} as a function of temperature from 300K to 25K. Our studies reveal that the linewidths of A_g(2) and A_g(4) phonons increase as temperature decreases. This anomalous temperature dependence of phonon lineshapes, seen for the first time in char

L. Zampieri, S. Campana, R. Turolla, M. Chieregato

We report on the identification of a new possible Isolated Neutron Star candidate in archival ROSAT observations. The source 1RXS J214303.7+065419, listed in the ROSAT Bright Survey as RBS 1774, is very soft, exhibits a thermal spectrum well fitted by a blackbody at ${T}\sim 90$ eV and has a low column density, ${N_H}\sim 5\times 10^{20}$ ${cm}^{-2}$. Catalo

Ayman F. Abouraddy, Bahaa E. A. Saleh, Alexander V. Sergienko, Malvin C. Teich

The use of entangled photons in an imaging system can exhibit effects that cannot be mimicked by any other two-photon source, whatever the strength of the correlations between the two photons. We consider a two-photon imaging system in which one photon is used to probe a remote (transmissive or scattering) object, while the other serves as a reference. We di

L. E. Helseth, P. E. Goa, H. Hauglin, M. Baziljevich

The interaction between a magnetic thin film and a superconductor is studied. In particular, the equilibrium width of a Bloch wall is estimated with and without the superconductor. It is shown that the Bloch wall experiences a small shrinkage on cooling through the critical temperature of the superconductor. Furthermore, the interaction between the Bloch wal

L. Bégin, C. Cummins, L. Lapointe, P. Mathieu

A new way of constructing fusion bases (i.e., the set of inequalities governing fusion rules) out of fusion elementary couplings is presented. It relies on a polytope reinterpretation of the problem: the elementary couplings are associated to the vertices of the polytope while the inequalities defining the fusion basis are the facets. The symmetry group of t

Fei Zhou

We review some recent results on discrete symmetries and topological order in spinor Bose-Einstein condensates (BECs) of $^{23}Na$. For spin one bosons with two-body scatterings dominated by a total spin equal to two channel, the BECs are in quantum spin nematic states at a low density limit. We study spin correlations in condensates at different limits and

Jeremy S. Heyl

During a Type-I burst, the turbulent deflagation front may excite waves in the neutron star ocean and upper atmosphere with frequencies, $ω\sim 1$ Hz. These waves may be observed as highly coherent flux oscillations during the burst. The frequencies of these waves changes as the upper layers of the neutron star cool which accounts for the small variation in

L. B. Lucy

A strong emission line at 2.8935 mu discovered by Rubin et al. (2001) in an ISO SWS02 spectrum of the Orion Nebula is identified as the 4p - 4s multiplet of the O I triplets. Line formation is due to de-excitation cascades following UV-pumping of high triplet terms and occurs in the O I zone immediately behind the Hydrogen ionization front. This cascade mech

J. H. Beall, W. Bednarek

Neutron stars, just after their formation, are surrounded by expanding, dense, and very hot envelopes which radiate thermal photons. Iron nuclei can be accelerated in the wind zones of such energetic pulsars to very high energies. These nuclei photo-disintegrate and their products lose energy efficiently in collisions with thermal photons and with the matter

Charles Santori, Glenn S. Solomon, Matthew Pelton, Yoshihisa Yamamoto

The multi-excitonic decay process in a single InAs quantum dot is studied through high-resolution time-resolved spectroscopy. A cascaded emission sequence involving three spectral lines is seen that is described well over a wide range of pump powers by a simple model. The measured biexcitonic decay rate is about 1.5 times the single-exciton decay rate. This

B. Coluzzi, P. Verrocchio

We studied the liquid-glass transition of $SiO_2$ by means of replica theory, utilizing an effective pair potential which was proved to reproduce a few experimental features of silica. We found a finite critical temperature $T_0$, where the system undergoes a phase transition related to replica symmetry breaking, in a region where experiments do not show any

T. R. Geballe, G. R. Knapp, S. K. Leggett, X. Fan

We present 0.6-2.5um, R~400 spectra of twenty-seven cool, low luminosity stars and substellar objects. Based on these and previously published spectra we develop a preliminary spectral classification system for L and T dwarfs. For late L and T types the classification system is based entirely on four spectral indices in the 1-2.5um interval. Two of these ind

Z. Bajnok, L. Palla, G. Takacs

We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states by closing the boundary bootstrap and gave a derivation of Al.B. Zamolodchikov&#39;s (unpublished) formulae for the boundary energy and the relation between the Lagrangian (ultraviolet) and bootstrap

T. Sasaki, N. Yoneyama, A. Matsuyama, N. Kobayashi

The magnetic susceptibility of the organic superconductors $κ$-(h8 or d8-ET)$_{2}$$X$, $X =$ Cu(NCS)$_{2}$ and Cu[N(CN)$_{2}$]Br has been studied. A metallic phase below $T^{*} =$ 37 $\sim$ 38 K for $X =$ Cu[N(CN)$_{2}$]Br and 46 $\sim$ 50 K for $X =$ Cu(NCS)$_{2}$ has an anisotropic temperature dependence of the susceptibility and the charge transport. Part

Malte Henkel, Michel Pleimling

A new variant of the Wolff cluster algorithm is proposed for simulating systems with competing interactions. This method is used in a high-precision study of the Lifshitz point of the 3D ANNNI model. At the Lifshitz point, several critical exponents are found and the anisotropic scaling of the correlators is verified. The functional form of the two-point cor

Takashi Okamoto, Masahiro Nagashima

We investigate environmental effects on evolution of bright cluster galaxies in a $Λ$ dominated cold dark matter universe using a combination of dissipationless N-body simulations and a semi-analytic galaxy formation model. The N-body simulations enable us to calculate orbits of galaxies in simulated clusters. Therefore we can incorporate stripping of cold g

Makoto Sakamoto, Shogo Tanimura

We formulate models of complex scalar fields in the space-time that has a two-dimensional sphere as extra dimensions. The Dirac-Wu-Yang monopole is set in two-sphere S^2 as a background gauge field. The nontrivial topology of the monopole induces topological defects, i.e. vortices. When the radius of S^2 is larger than a critical radius, the scalar field dev

Dongsu Bak, Sang-Woo Kim

We begin by reviewing the noncommutative supersymmetric tubular configurations in the matrix theory. We identify the worldvolume gauge fields, the charges and the moment of R-R charges carried by the tube. We also study the fluctuations around many tubes and tube-D0 systems. Based on the supersymmetric tubes, we have constructed more general configurations t

Ch. Helm, L. N. Bulaevskii, E. M. Chudnovsky, M. P. Maley

We compute the frequency and magnetic field dependencies of the reflectivity $R(ω)$ in layered superconductors with two alternating intrinsic Josephson junctions with different critical current densities and quasiparticle conductivities for the electric field polarized along the c-axis. The parameter $α$ describing the electronic compressibility of the layer

X. Q. Luo, H. Jirari, H. Kroger, K. Moriarty

Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in the conventional approach, it is extremely difficult to compute the excited states. Here we present a different algorithm: the Monte Carlo Hamiltonian method, designed to overcome the difficulties of the conventional

Vasily E. Tarasov

In this paper a generalization of Weyl quantization which maps a dynamical operator in a function space to a dynamical superoperator in an operator space is suggested. Quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables can be derived as a specific ca

Wolfgang Alt

We present the design of a diffraction limited, long working distance monochromatic objective lens for efficient light collection. Consisting of four spherical lenses, it has a numerical aperture of 0.29, an effective focal length of 36 mm and a working distance of 36.5 mm. This inexpensive system allows us to detect 8*10^4 fluorescence photons per second fr

Kirill A. Kazakov, Michael A. Liberman

Nonlinear non-stationary equation describing evolution of weakly curved premixed flames with arbitrary gas expansion, subject to the Landau-Darrieus instability, is derived. The new equation respects all the conservation laws to be satisfied across the flame front, as well as correctly takes into account influence of vorticity, generated in the flame, on the

Zu-Guo Yu, Vo Anh, Ka-Sing Lau

This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of complete genomes. The main aim of this paper is to discuss the multifractal property of the measure representation and the classification of bacteria. From the measure

Vo Anh, Ka-Sing Lau, Zu-Guo Yu

This paper develops a theory for characterisation of DNA sequences based on their measure representation. The measures are shown to be random cascades generated by an infinitely divisible distribution. This probability distribution is uniquely determined by the exponent function in the multifractal theory of random cascades. Curve fitting to a large number o

Zu-Guo Yu, Vo Anh, Ka-Sing Lau

The coding and noncoding length sequences constructed from a complete genome are characterised by multifractal analysis. The dimension spectrum $D_{q}$ and its derivative, the &#39;analogous&#39; specific heat $C_{q}$, are calculated for the coding and noncoding length sequences of bacteria, where $q$ is the moment order of the partition sum of the sequences

Renat Kh. Gainutdinov, Aigul A. Mutygullina

We discuss the problem of renormalization of dynamical equations which arises in an effective field theory description of nuclear forces. By using a toy model of the separable NN potential leading to logarithmic singularities in the Born series, we show that renormalization gives rise to nucleon dynamics which is governed by a generalized dynamical equation

J. Haidenbauer, W. Melnitchouk, J. Speth

We present a new model for the hyperon-nucleon (Lambda N, Sigma N) interaction, derived within the meson exchange framework. The model incorporates the standard one boson exchange contributions of the lowest pseudoscalar and vector meson multiplets with coupling constants fixed by SU(6) symmetry relations. In addition - as the main feature of the new model -

S. J. Lindenbaum, R. S. Longacre

The recent papers of Jeon and Koch [1] and Asakawa, Heinz, and Muller [2] argue that the event by event fluctuations of the ratio of the positively charged and negatively charged pions provide a distinct signal for a QGP at RHIC/LHC due to differences in those from the QGP phase and the Hadron Gas Phase.In this paper we point out that aside from the question

N. Hadyn, J. Luevano, G. Mantica, S. Vaienti

Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets of dimensions is established. Theoretical analysis and numerical examples of dynamical systems in the class of Iterated F

C. Chryssomalakos, A. Turbiner

We study maps preserving the Heisenberg commutation relation $ab - ba=1$. We find a one-parameter deformation of the standard realization of the above algebra in terms of a coordinate and its dual derivative. It involves a non-local ``coordinate&#39;&#39; operator while the dual ``derivative&#39;&#39; is just the Jackson finite-difference operator. Substitut

Jeremy Haefner, Christopher J. Pappacena

Let R be a Dedekind domain with global quotient field K. The purpose of this note is to provide a characterization of when a strongly graded R-order with semiprime 1-component is hereditary. This generalizes earlier work by the first author and G. Janusz (Trans. Amer. Math. Soc. 352 (2000), 3381-3410).

Kannan Nambiar

Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Axiom of Fusion to Zermelo-Fraenkel set theory. In IST, Continuum Hypothesis is a theorem, Axiom of Choice is a theorem, Skolem paradox does not appear, nonLebesgue measurable sets are not possible, and the unit interval splits into a set of infinitesimals.

Daniel C. Isaksen

We show that C if is a proper model category, then the pro-category pro-C has a strict model structure in which the weak equivalences are the levelwise weak equivalences. The strict model structure is the starting point for many homotopy theories of pro-objects.

K. B. Lee, Frank Raymond

A Seifert manifold is a 3-dimensional manifold with a circle action. It is a circle bundle (with singularities) over a 2-dimensional orbifold. In this note, we discuss a generalized Seifert manifolds. By definition, they have bundle-like structures whose fibers are infra- homogeneous spaces; that is, the fibers are flat manifolds, almost flat manifolds, etc.

Mikhail Sodin

We answer negatively to the question posed by Aleksandrov concerning analytic functions of Smirnov&#39;s class in the unit disk with pure imaginary boundary values. We also find new sufficient conditions for representations of functions of Smirnov&#39;s class by the Schwartz and Cauchy integrals. These conditions extend a previous result of Aleksandrov.

V. Matsaev, I. Ostrovskii, M. Sodin

This is an extended version of notes prepared for the talk at the conference &#34;Rajchman-Zygmund-Marcinkiewicz 2000&#34; based on recent works of the authors.

C. F. Dunkl, E. M. Opdam

Dunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parametrized family of deformations of the polynomial De Rham complex. This leads to the study of the polynomial ring as a module over the &#34;rational Cherednik algebra&#34;, and a natural contravariant form on this module. In the case of the i

Sema Salur

The purpose of this paper is to prove a gluing theorem for a given special Lagrangian submanifold of a Calabi-Yau 3-fold. The proof will be an adaption of the gluing techniques in J-holomorphic curve theory. It is a well known procedure in geometric analysis to construct new solutions to a given nonlinear partial differential equation by gluing known solutio

F. A. Grunbaum, I. Pacharoni, J. Tirao

The main purpose of this paper is to compute all irreducible spherical functions on $G=\SU(3)$ of arbitrary type $δ\in \hat K$, where $K={\mathrm{S}}(\mathrm{U}(2)\times\mathrm{U}(1))\simeq\mathrm{U}(2)$. This is accomplished by associating to a spherical function $Φ$ on $G$ a matrix valued function $H$ on the complex projective plane $P_2(\mathbb{C})=G/K$.

Jorge A. Guccione, Juan J. Guccione

We obtain a decomposition for the Hochschild cochain complex of a split algebra and we study some properties of the cohomology of each term of this decomposition. Then, we consider the case of trivial extensions, specially of Frobenius algebras. In particular, we determine completely the cohomology of the trivial extension of a finite dimensional Hopf algebr

Laurent Bonavero

We classify smooth toric Fano varieties of dimension $n\geq 3$ containing a toric divisor isomorphic to $\PP^{n-1}$. As a consequence of this classification, we show that any smooth complete toric variety $X$ of dimension $n\geq 3$ with a $T$-fixed point $x\in X$ such that the blow-up $B_x(X)$ of $X$ at $x$ is Fano is isomorphic either to $\PP^n$ or to the b

Ian Davies, Paul Mansfield

The Polyakov bosonic string is quantised in Euclidean Anti-de Sitter space-time using functional methods. Regularisation of the functional determinants using both heat-kernel and zeta function techniques shows that the AdS_{D+1} string reduces to the Liouville field theory, as in the flat space-time case. A Feynman graph expansion is used to evaluate (approx

Nobuyuki Motoyui, Shogo Tominaga, Mitsuru Yamada

D=2,N=2 generalized Wess-Zumino theory is investigated by the dimensional reduction from D=4,N=1 theory. For each solitonic configuration (i,j) the classical static solution is solved by the Hamilton-Jacobi method of equivalent one-dimensional classical mechanics. It is easily shown that the Bogomol&#39;nyi mass bound is saturated by these solutions and tria

Sachiko Ogushi

We discuss some properties of higher derivative (HD) bulk gravity without Riemann tensor square term. Such a kind of gravity admits Schwarzschild Anti de Sitter (SAdS) black hole as exact solution. It is shown that induced brane geometry on such background is Friedmann-Robertson-Walker (FRW) radiation dominated Universe. We show that HD terms contributions a

Thomas G. Rizzo

A brief overview is presented of the signatures for several different models with extra dimensions at CLIC, an $e^+e^-$ linear collider with a center of mass energy of 3-5 TeV and an integrated luminosity of order 1 $ab^{-1}$. In all cases the search reach for the resulting new physics signatures is found to be in the range of $\simeq$15-80 TeV.

Thomas G. Rizzo

A brief overview of the signatures for several different models with extra dimensions at the stage II, $\sqrt s=175-200$ TeV VLHC is presented. In all cases the search reaches for these models in the Drell-Yan channel are found to be in the range of 15-80 TeV.

Andrzej Czarnecki, Kirill Melnikov

The next-to-next-to-leading order (NNLO) QCD corrections to top quark threshold pair production in gamma-gamma collisions are computed. The NNLO effects turn out to be significant. Threshold cross sections in gamma-gamma and e+e- collisions are compared.

T. G. Steele, D. Harnett

QCD Laplace sum-rules are briefly reviewed and two sum-rule applications are presented. For scalar gluonium, upper bounds on the lightest state are obtained from ratios of Laplace sum-rules, and the role of instantons and the low-energy theorem on these bounds is investigated. For the light-quark masses, fundamental inequalities for Laplace sum-rules are dev

G. Ecker

A brief survey of applications of chiral perturbation theory to both semileptonic and nonleptonic kaon decays is presented. Special emphasis is given to recent theoretical advances related to semileptonic decays, in particular pion pion scattering and Ke4 decays. The systematic approach for including isospin violation and electromagnetic corrections in semil

E. O. Iltan

We calculate the new physics effects to the branching ratios of the lepton flavor conserving decays Z -> l^+ l^- in the framework of the general two Higgs Doublet model. We predict the upper limits for the couplings |\barξ^{D}_{N,μτ}| and |\barξ^{D}_{N,ττ}| as 3\times 10^2 GeV and 1\times 10^2 GeV, respectively.

I. M. Dremin

Wavelet analysis of different patterns reveals some symmetries and singularities otherwise hidden in the pattern. Its general methods are briefly reviewed. Examples from turbulence, cavitation, Cherenkov gluon emission and quark-gluon jets structure in QCD are considered.

N. Barik, R. N. Mishra

At a low resolution scale with $Q^2=μ^2$ corresponding to the nucleon bound state; deep inelastic unpolarized structure functions $F_1(x,μ^2)$ and $F_2(x,μ^2)$ are derived with correct support using the symmetric part of the hadronic tensor under some simplifying assumptions in the Bjorken limit. For doing this; the nucleon in its ground state has been repre

Kim Maltman, Joachim Kambor

The flavor $ud$ and $us$ pseudoscalar correlators are investigated using families of finite energy sum rules (FESR&#39;s) known to be very accurately satisfied in the isovector vector channel. It is shown that the combination of constraints provided by the full set of these sum rules is sufficiently strong to allow determination of both the light quark mass

Xiang-Qian Luo, H. Jirari, H. Kroger, K. Moriarty

Monte Carlo techniques with importance sampling have been extensively applied to lattice gauge theory in the Lagrangian formulation. Unfortunately, it is extremely difficult to compute the excited states using the conventional Monte Carlo algorithm. Our recently developed approach: the Monte Carlo Hamiltonian method, has been designed to overcome the difficu

Marco Battaglia

The CLIC Study that aims at a linear collider able to deliver e+e- collisions at centre-of-mass energies up to 5 TeV with luminosity of 10^35 cm^-2 s^-1 is presented. Its physics potential is outlined with special emphasis to the relationships to the experience gained in a decade of e+e- experimentation at LEP.

K. Hanagaki, H. Kakuno, H. Ikeda, T. Iijima

We report on electron identification methods and their performance in the Belle experiment at the KEK-B asymmetric B-Factory $e^{+} e^{-}$ storage ring. Electrons are selected using a likelihood approach that takes information from the electromagnetic calorimeter, the central drift chamber, and the silica aerogel Cherenkov counters as input. We achieve an el

A. Blaut, J. Kowalski-Glikman, D. Nowak-Szczepaniak

Following the methods developed by Corley and Jacobson, we consider qualitatively the issue of Hawking radiation in the case when the dispersion relation is dictated by quantum kappa-Poincare algebra. This relation corresponds to field equations that are non-local in time, and, depending on the sign of the parameter kappa, to sub- or superluminal signal prop

V. A. Malyshev

Gibbs measure is one of the central objects of the modern probability, mathematical statistical physics and euclidean quantum field theory. Here we define and study its natural generalization for the case when the space, where the random field is defined is itself random. Moreover, this randomness is not given apriori and independently of the configuration,

Joseph S. B. Mitchell, Joseph O&#39;Rourke

A compendium of thirty previously published open problems in computational geometry is presented.

Thomas Papenbrock

We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of two-body interactions. These states are closely related to the exact solutions found previously in rotating Bose-Einstein con

Andreas Voigt, Johannes Richter, Piotr Tomczak

We present an exact diagonalization study of the quantum Heisenberg antiferromagnet on the fractal Sierpinski gasket for spin quantum numbers s=1/2,s=1 and s=3/2. Since the fractal dimension of the Sierpinski gasket is between one and two we compare the results with corresponding data of one- and two-dimensional systems. By analyzing the ground-state energy,

Raphael Blumenfeld

This paper examines the effect of cooling on disentanglement forces in polymers and the implications for both single chain pullout and polymer dynamics. I derive the explicit dependence of the distribution of these forces on temperature, which is found to exhibit a rich behaviour. Most significantly, it is shown to be dominated by large fluctuations up to a

Raphael Blumenfeld

This paper addressses the kinetics and dynamics of a family of domain wall solutions along classical antiferromagnetic Heisenberg spin chains at low energies. The equation of motion is derived and found to have long range position- and velocity-dependent two-body forces. A &#39;quiescent&#39; regime is identified where the forces between walls are all repell