December 2005 arXiv papers — page 9

V. P. Belavkin

We prove that a single-jump quantum stochastic unitary evolution is equivalent to a Dirac boundary value problem on the half line in an extra dimension. This amounts to the equivalence of the quantum measurement boundary-value problem in infinite number particles space to the stochastic calculus in Fock space. It is shown that this exactly solvable model can

V. P. Belavkin, M. G. Perkins

The problem of time operator in quantum mechanics is revisited. The unsharp measurement model for quantum time based on the dynamical system-clock interaction, is studied. Our analysis shows that the problem of the quantum time operator with continuous spectrum cannot be separated from the measurement problem for quantum time.

J. Finkelstein

This is a comment on the paper by Hagar and Hemmo (quant-ph/0512095) in which they suggest that information-theoretic approaches to quantum theory are incomplete.

Bruno Cocciaro

No causal paradoxes will occur if a preferred reference frame for tachyons propagation is assumed, and results of Bell's inequality experiments may be well explained without using any telepathyc effect. We can read G. Faraci's and others' results, Lettere al Nuovo Cimento, 15, 607-611 (1974), as a first quantitive indication on the tachyons prefe

Bo Chong, Hellmut Keiter, Joachim Stolze

Based on the ranks of reduced density matrices, we derive necessary conditions for the separability of multiparticle arbitrary-dimensional mixed states, which are equivalent to sufficient conditions for entanglement. In a similar way we obtain necessary conditions for the separability of a given mixed state with respect to partitions of all particles of the

Allan I. Solomon, Sonia G. Schirmer

A state in quantum mechanics is defined as a positive operator of norm 1. For finite systems, this may be thought of as a positive matrix of trace 1. This constraint of positivity imposes severe restrictions on the allowed evolution of such a state. From the mathematical viewpoint, we describe the two forms of standard dynamical equations - global (Kraus) an

Alexander Klyachko, Barış Öztop, Alexander S. Shumovsky

Amount of entanglement carried by a quantum bipartite state is usually evaluated in terms of concurrence (see Ref. 1). We give a physical interpretation of concurrence that reveals a way of its direct measurement and discuss possible generalizations.

R. L. Stratonovich, V. P. Belavkin

An apparatus model with discrete momentum space suitable for the exact solution of the problem is considered. The special Hamiltonian of its interaction with the object system under consideration is chosen. In this simple case it is easy to illustrate how difficulties in constructing the dynamical interpretation of selective collapse could be overcomed witho

Wang Guowen

This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states associated with the non-peaked pieces of the others of entangled particles, which inseparably join together. The correlation of t

J. G. Muga, F. Delgado, A. del Campo, G. Garcia-Calderon

We consider the role of the reconstruction of the initial state in the deviation from exponential decay at short and long times. The long time decay can be attributed to a wave that was, in a classical-like, probabilistic sense, fully outside the initial state or the inner region at intermediate times, i.e., to a completely reconstructed state, whereas the d

Anders S. Mouritzen, Klaus Molmer

We show how the rotational quantum state of a linear or symmetric top rotor can be reconstructed from finite time observations of the polar angular distribution under certain conditions. The presented tomographic method can reconstruct the complete rotational quantum state in many non-adiabatic alignment experiments. Our analysis applies for measurement data

V. P. Belavkin, O. Melsheimer

We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of quantum particles that interacts singularly with "bubbles" which admit a continual counting observation. This model allows to watch a quantum trajectory in a photodetector or

A. Barchielli, V. P. Belavkin

Measurements continuous in time were consistently introduced in quantum mechanics and applications worked out, mainly in quantum optics. In this context a quantum filtering theory has been developed giving the reduced state after the measurement when a certain trajectory of the measured observables is registered (the a posteriori states). In this paper a new

Alexei Grinbaum

What belongs to quantum theory is no more than what is needed for its derivation. We argue for an approach focusing on reconstruction rather than interpretation of quantum mechanics and analyze several examples of reconstruction. We submit that reconstruction advances our understanding of quantum theory irrespective of one's ontological stance.

Aurelien Drezet

In this article we criticize the experiment realized by S. Afshar [Proc. SPIE 5866, 229-244 (July 2005)]. We analyze Bohr's complementarity and show that the interpretation proposed by Afshar is misleading.

Gordon McCabe

The purpose of this paper is to discuss and clarify the explanations commonly cited for the aerodynamic lift generated by a wing, and to then analyse, as a case study of engineering discovery, the aerodynamic revolutions which have taken place within Formula 1 in the past 40 years. The paper begins with an introduction that provides a succinct summary of the

Sedat Gumus, Telhat Ozdogan

The comments of Guseinov are critically analyzed. Contrary to his comments, it is pointed out that our formula for two-center overlap integrals over Slater type orbitals have been derived independently, not derived from the earlier works of Guseinov by changing the summation indices. Therefore, our algorithm is original, is not affected from possible instabi

Vitaly V. Kresin, Yu. N. Ovchinnikov

Electron-phonon relaxation in size-quantized systems may become inhibited when the spacing of discrete electron energy levels exceeds the magnitude of the phonon frequency. We show, however, that nanoclusters can support a fast nonradiative relaxation channel which derives from their distinctive ability to undergo Jahn-Teller shape deformations. Such a defor

T. Antal, S. Redner

We study the first-passage properties of a random walk in the unit interval in which the length of a single step is uniformly distributed over the finite range [-a,a]. For a of the order of one, the exit probabilities to each edge of the interval and the exit time from the interval exhibit anomalous properties stemming from the change in the minimum number o

Suddhashil Chattopadhyay, Radu Moldovan, Chuck Yeung, X. L. Wu

We use in vivo measurements of swimming bacteria in an optical trap to determine fundamental properties of bacterial propulsion. In particular, we determine the propulsion matrix, which relates the angular velocity of the flagellum to the torques and forces propelling the bacterium. From the propulsion matrix dynamical properties such as forces, torques, swi

Henri-Claude Nataf, Thierry Alboussière, Daniel Brito, Philippe Cardin

We report measurements of electric potentials at the surface of a spherical container of liquid sodium in which a magnetized inner core is differentially rotating. The azimuthal angular velocities inferred from these potentials reveal a strong super-rotation of the liquid sodium in the equatorial region, for small differential rotation. Super-rotation was ob

Gyuchang Lim, Soo Yong Kim, Junyuan Zhou, Seong-Min Yoon

We study the evolution of probability distribution functions of returns, from the tick data of the Korean treasury bond (KTB) futures and the S$&$P 500 stock index, which can be described by means of the Fokker-Planck equation. We show that the Fokker-Planck equation and the Langevin equation from the estimated Kramers-Moyal coefficients are estimated direct

G. G. Kozlov

The atoms moving within the waveguide with a critical frequency higher than the resonant frequency of atoms are suggested for obtaining the "slow light". Due to the absence of the resonant mode in the guide the atoms conserves excitation and coherence. The speed of this mixed excitation (electromagnetic field + moving atom) can be very low or even ze

P. Lalanne, J. P. Hugonin, J. C. Rodier

In this letter, we study the scattering of light by a single subwavelength slit in a metal screen. In contrast to previous theoretical works, we provide a microscopic description of the scattering process by emphasizing the generation of surface plasmons at the slit apertures. The analysis is supported by a rigorous formalism based on a normal-mode-decomposi

Eduardo Anglada, Jose M. Soler

We present a method to filter a distribution so that it is confined within a sphere of given radius r_c and, simultaneously, whose Fourier transform is optimally confined within a sphere of radius k_c. Our procedure may have several applications in the field of electronic structure methods, like the generation of optimized pseudopotentials and localized pseu

Ettore Bompard, Yuchao Ma, Elena Ragazzi

Competition has been introduced in the electricity markets with the goal of reducing prices and improving efficiency. The basic idea which stays behind this choice is that, in competitive markets, a greater quantity of the good is exchanged at a lower and a lower price, leading to higher market efficiency. Electricity markets are pretty different from other

Sanjoy Mahajan

I discuss how to estimate the gas mileage of a car. This discussion, which covers air resistance and Reynolds numbers, describes one way to introduce dimensional analysis and order-of-magnitude physics into introductory physics (if only the syllabus would allow it). It is part teacher's guide and part textbook chapter -- I hope not the worst parts of eac

J. P. D'Incao, S. C. Cheng, H. Suno, B. D. Esry

We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized experimentally in cold trapped atoms using extremely off-resonant laser fields [Phys. Rev. Lett. 84, 5687 (2000)]. We have

Jose J Lunazzi, Noemi I Rodriguez Rivera

The double diffraction of white light can produce a thin-prism-like image in certain conditions by using ordinary diffraction gratings. The diffractive deviation of rays happens mainly in one direction because the diffracting elements are straight and parallel. We show similar images using elements where diffraction happens in both directions: spiral grooves

E. Oset, V. K. Magas, A. Ramos

The $K^- p \to π^0 π^0 Σ^0$ reaction is studied within a chiral unitary model. The distribution of $π^0 Σ^0$ states forming the $Λ(1405)$ shows, in agreement with a recent experiment, a peak at 1420 MeV and a relatively narrow width of $Γ= 38$ MeV. We use these data in combination with those of the $π^- p \to K^0 πΣ$ reaction and elements of chiral unitary t

Magdalena Djordjevic

In ultrarelativistic heavy ion collisions a finite size QCD medium is created. In this paper we compute radiative energy loss to zeroth order in opacity by taking into account finite size effects. Transition radiation occurs on the boundary between the finite size medium and the vacuum, and we show that it lowers the difference between medium and vacuum zero

Boris Tomasik, Evgeni E Kolomeitsev

We propose a non-equilibrium, hadronic kinetic model for describing the relative abundance of strange particles in ultra-relativistic heavy-ion collisions. The energy dependence of the multiplicity ratios of charged kaons and lambdas to pions are studied in detail. The pronounced peak in positively charged K/pi is conjectured to be due to the decreasing life

P. Roy Chowdhury, C. Samanta, D. N. Basu

The lifetimes of $α$ decays of the recently produced isotopes of the elements 112, 114, 116 and the element $^{294}118$ and of some decay products have been calculated theoretically within the WKB approximation using microscopic $α$-nucleus interaction potentials. These nuclear potentials have been obtained by folding the densities of the $α$ and the daughte

J. Speltz

We present results on systematic measurements of strange and multi-strange particles with the STAR detector for center of mass energies per nucleon pair of 62.4 and 200 GeV in ultra-relativistic Au+Au collisions at RHIC. We use these results to characterize the chemical and kinetic freeze-out properties of the fireball produced by the collision. This is done

S. Dymov, D. Gusev, M. Hartmann, V. Hejny

The pp -> pp pi0 differential cross section has been measured with the ANKE spectrometer at COSY-Juelich for pion cms angles between 0 and 15.4 degrees at a proton beam energy of 0.8 GeV. The selection of diproton pairs with an excitation energy E_{pp} < 3 MeV ensures that the final pp system is dominantly in the spin-singlet 1S0 state. The kinematics are th

Chiara Andrà, Luca Degiovanni, Guido Magnano

A new Poisson structure on a subspace of the Kupershmidt algebra is defined. This Poisson structure, together with other two already known, allows to construct a trihamiltonian recurrence for an extension of the periodic Toda lattice with $n$ particles. Some explicit examples of the construction and of the first integrals found in this way are given.

J. Frauendiener, C. Klein

This is the second in a series of papers on the numerical treatment of hyperelliptic theta-functions with spectral methods. A code for the numerical evaluation of solutions to the Ernst equation on hyperelliptic surfaces of genus 2 is extended to arbitrary genus and general position of the branch points. The use of spectral approximations allows for an effic

J. Frauendiener, C. Klein

A code for the numerical evaluation of hyperelliptic theta-functions is presented. Characteristic quantities of the underlying Riemann surface such as its periods are determined with the help of spectral methods. The code is optimized for solutions of the Ernst equation where the branch points of the Riemann surface are parameterized by the physical coordina

V. G. Gueorguiev

General structure of classical reparametrization-invariant matter systems, mainly the relativistic particle and its $d$-brane generalization, are studied. The exposition is in close analogy with the relativistic particle in an electromagnetic field as reparametrization-invariant system. The structure of a diffeomorphism invariant Lagrangian action for an ext

David Radnell, Eric Schippers

The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator algebras, we generalize the parametrizations to quasisymmetric maps. For a precise mathematical definition of CFT (in the

Richard L. Hall

It is shown that exact solutions may be found for the energy eigenvalue problem generated by the class of semirelativistic Hamiltonians of the form H = sqrt{m^2+p^2} + hat{V}, where hat{V} is a non-local potential with a separable kernel of the form V(r,r&#39;) = - sum_{i=1}^n v_i f_i(r)g_i(r&#39;). Explicit examples in one and three dimensions are discussed

V. P. Belavkin, P. Staszewski

A semi-classical non-Hamiltonian model of a spontaneous collapse of unstable quantum system is given. The time evolution of the system becomes non-Hamiltonian at random instants of transition of pure states to reduced ones, given by a contraction C. The counting trajectories are assumed to satisfy the Poisson law. A unitary dilation of the concractive stocha

V. P. Belavkin

A generalized definition of quantum stochastic (QS) integrals and differentials is given in the free of adaptiveness and basis form in terms of Malliavin derivative on a projective Fock scale, and their uniform continuity and QS differentiability with respect to the inductive limit convergence is proved. A new form of QS calculus based on an inductive *-alge

V. P. Belavkin

We prove that a single-jump quantum stochastic unitary evolution is equivalent to a Dirac boundary value problem on the half line in one extra dimension. It is shown that this exactly solvable model can be obtained from a Schroedinger boundary value problem for a positive relativistic Hamiltonian in the half-line as the inductive ultrarelativistic limit, cor

A. G. Kvirikadze, M. D. Zviadadze, T. V. Tavdgiridze, I. G. Tavelidze

The method, proposed in the given work, allows the application of well developed standard methods used in quantum mechanics for approximate solution of the systems of ordinary linear differential equations with periodical coefficients.

M. -P. Grosset, A. P. Veselov

A generalisation of the odd Bernoulli polynomials related to the quantum Euler top is introduced and investigated. This is applied to compute the coefficients of the spectral polynomials for the classical Lamé operator.

Satoru Saito, Noriko Saitoh

We study periodicity conditions of a rational map on $\bm{C}^d$ with $p$ invariants and show that a set of isolated periodic points and an algebraic variety of finife dimension do not exist in one map simultaneously if $p\ge d/2$. We also discuss in detail how the transition takes place between them.

Satoru Saito, Noriko Saitoh

By studying periodic points for rational maps on $\bm{C}^d$ with $p$ invariants, we show that they form an invariant variety of dimension $p$ if the periodicity conditions are `fully correlated&#39;, and a set of isolated points if the conditions are `uncorrelated&#39;. We present many examples of the invariant varieties in the case of integrable maps. Moreo

Gady Kozma

Excited random walk is a process that has a drift to the right whenever it encounters a new vertex. The paper shows that in two dimensions it drifts to the right linearly in time.

Jan Pachl

The paper describes two Borel-measurable functions from a measure space into a locally convex space such that the image measure for each function is Radon but their sum is not Borel-measurable.

T. T. Moh

The said paper entitled &#34;A Proof Of The Plane Jacobian Conjecture&#34; is not true.

Fabio Ancona, Alberto Bressan

We consider the time optimal stabilization problem for a nonlinear control system $\dot x=f(x,u)$. Let $τ(y)$ be the minimum time needed to steer the system from the state $y\in\R^n$ to the origin, and call $\A(T)$ the set of initial states that can be steered to the origin in time $τ(y)\leq T$. Given any $\ve>0$, in this paper we construct a patchy feedback

Naihong Hu

For q generic or a primitive l-th root of unity, q-Witt algebras are described by means of q-divided power algebras. The structure of the universal q-central extension of the q-Witt algebra, the q-Virasoro algebra, is also determined. q-Lie algebras are investigated and the q-PBW theorem for the universal enveloping algebras of q-Lie algebras is proved. A re

C. Maes, F. Redig, E. Saada

Non-Fellerian processes show phenomena that are unseen in standard interacting particle systems. We consider freezing transitions in one-dimensional non-Fellerian processes which are built from the abelian sandpile additions to which in one case, spin flips are added, and in another case, the so called anti-sandpile subtractions. In the first case and as a f

Lucian Beznea, Nicu Boboc, Michael Röckner

We prove that for any semi-Dirichlet form $(ε, D(ε))$ on a measurable Lusin space $E$ there exists a Lusin topology with the given $σ$-algebra as the Borel $σ$-algebra so that $(ε, D(ε))$ becomes quasi-regular. However one has to enlarge $E$ by a zero set. More generally a corresponding result for arbitrary $L^p$-resolvents is proven.

B. T. Graham, G. R. Grimmett

The so-called diluted-random-cluster model may be viewed as a random-cluster representation of the Blume--Capel model. It has three parameters, a vertex parameter $a$, an edge parameter $p$, and a cluster weighting factor $q$. Stochastic comparisons of measures are developed for the `vertex marginal&#39; when $q\in[1,2]$, and the `edge marginal&#39; when $q\

L. Bedratyuk

Let $k[X]{:=} k[x_0,x_1,..., x_n]$ be a polynomial algebra over a field $k$ of characteristic zero. We offer an algorithm for calculation of kernel of Weitzenbök derivation ${d(x_i)=x_{i-1}}, ...,$ ${d(x_0)=0}$, ${i=1... n}$ that is based on an analogue of the well known Casimir elements of finite dimensional Lie algebras. By using this algorithm, the kernel

Hyunsuk Kang

We give examples of isospectral non-isometric surfaces of genus 2 and 3 with variable curvatures and apply the result to construct isospectral potentials on Riemann surfaces of genus 2.

Guillermo Moreno

In this paper we give new methods to construct zero divisors in A_n =R^(2^n) the Cayley_Dickson algebras over the real numbers, for n larger than 4, and we also relate the set of zero divisors in A_{n+1} with the Stiefel Manifold V_{2^n -1,2} for n>3. We also introduce the notion of &#34;Spectrum&#34; (of a no zero double pure element) wich synthesize the in

Guillermo Moreno

In this paper we study the algebra monomorphisms from A_m =R^(2^m) into A_n=R^(2^n) for 0<m<n where the A_k &#39;s are the Cayley- Dickson algebras over the real numbers. We show that for m>2 there are many different types of monomorphisms and we describe them in terms of the zero divisors in A_n.

Doyoon Kim, N. V. Krylov

We prove the unique solvability of second order elliptic equations in non-divergence form in Sobolev spaces. The coefficients of the second order terms are measurable in one variable and VMO in other variables. From this result, we obtain the weak uniqueness of the martingale problem associated with the elliptic equations.

K. R. Goodearl

A Poisson analog of the Dixmier-Moeglin equivalence is established for any affine Poisson algebra $R$ on which an algebraic torus $H$ acts rationally, by Poisson automorphisms, such that $R$ has only finitely many prime Poisson $H$-stable ideals. In this setting, an additional characterization of the Poisson primitive ideals of $R$ is obtained -- they are pr

Yo&#39;av Rieck

We give a short proof of Bing&#39;s characterization of $S^3$: a compact, connected 3-manifold $M$ is $S^3$ if and only if every knot in $M$ is isotopic into a ball.

Y. Safarov

Let F be a real-valued convex function on the complex plane, and let Ps(b) be a pseudodifferential operator with symbol b. Under certain natural assumptions about properties of pseudodifferential operators, we prove that the sum of F(z) over all eigenvalues z of the operator Ps(b) counted with their multiplicities does not exceed the real part of the trace o

A. A. Shkalikov

We relax assumptions for a dissipative operator in Krein space to possess a maximal non-negative invariant subspace. Our main result is a generalization of a well-known Pontrjagin-Krein-Langer-Azizov theorem. Then we investigate the semigroup properties of the restriction of the operator onto the invariant subspace.

Thierry De La Rue

Since their introduction by Furstenberg in 1967, joinings have proved a very powerful tool in ergodic theory. We present here some aspects of the use of joinings in the study of measurable dynamical systems, emphasizing on - the links between the existence of a non trivial common factor and the existence of a joining which is not the product measure, - how j

A. J. Roberts

Constructing numerical models of noisy partial differential equations is very delicate. Our long term aim is to use modern dynamical systems theory to derive discretisations of dissipative stochastic partial differential equations. As a second step we here consider a small domain, representing a finite element, and apply stochastic centre manifold theory to

Michael Larsen, Eric C. Rowell, Zhenghan Wang

We consider the classification problem for compact Lie groups $G\subset U(n)$ which are generated by a single conjugacy class with a fixed number $N$ of distinct eigenvalues. We give an explicit classification when N=3, and apply this to extract information about Galois representations and braid group representations.

David Ayala, Renzo Cavalieri

This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent lines to a projective plane curve of degree $d$ by doing intersection theory on moduli spaces.

Anwar A. Irmatov, Alexandr S. Mishchenko

It is shown that the class of Fredholm operators over an arbitrary unital $C^{*}$--algebra, which may not admit adjoint ones, can be extended in such a way that this class of compact operators, used in the definition of the class of Fredholm operators, contains compact operators both with and without existence of adjoint ones. The main property of this new c

Oleg Pikhurko, Joel Spencer, Oleg Verbitsky

Let $D(G)$ be the minimum quantifier depth of a first order sentence $Φ$ that defines a graph $G$ up to isomorphism. Let $D_0(G)$ be the version of $D(G)$ where we do not allow quantifier alternations in $Φ$. Define $q_0(n)$ to be the minimum of $D_0(G)$ over all graphs $G$ of order $n$. We prove that for all $n$ we have $\log^*n-\log^*\log^*n-1\le q_0(n)\le

Anita M. Rojas

Consider a finite group $G$ acting on a Riemann surface $S$, and the associated branched Galois cover $π_G:S \to Y=S/G$. We introduce the concept of geometric signature for the action of $G$, and we show that it captures the information of the geometric structure of the lattice of intermediate covers, the information about the isotypical decomposition of the

Sergei Gukov, Johannes Walcher

The topological string interpretation of homological knot invariants has led to several insights into the structure of the theory in the case of sl(N). We study possible extensions of the matrix factorization approach to knot homology for other Lie groups and representations. In particular, we introduce a new triply graded theory categorifying the Kauffman p

Robert McNees

We present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically $AdS$ spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially broken if the dimension of the spacetime is odd. We show that this symmetry is restored by a new boundary counterterm, ne

S. de Buyl, M. Henneaux, L. Paulot

The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M-theory. Recently, following the analysis of the asymptotic behaviour of the supergravity fields near a cosmological singularity, this question has received a new impulse. It has been argued that one way to exhibit the symmetry was to rewri

M V Cougo-Pinto, C Farina, F S S Rosa, J F M Mendes

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an alternative theoretical setting to the study of the particle-antiparticle asymmetry in nature.

Susanne Reffert, Emanuel Scheidegger

We discuss the first step in the moduli stabilization program a la KKLT for a general class of resolved toroidal type IIB orientifolds. In particular, we discuss their geometry, the topology of the divisors relevant for the D3-brane instantons which can contribute to the superpotential, and some non--trivial aspects of the orientifold action.

Steffen Metzger

The subject of this thesis are various ways to construct four-dimensional quantum field theories from string theory. In a first part we study the generation of a supersymmetric Yang-Mills theory, coupled to an adjoint chiral superfield, from type IIB string theory on non-compact Calabi-Yau manifolds, with D-branes wrapping certain subcycles. The low energy l

M. Chaichian, K. Nishijima

It is argued that there are two phases in QCD distinguished by different choices of the gauge parameter. In one phase the color confinement is realized and gluons turn out to be massive, whereas in the other phase it ceases to be realized, but the gluons remain massless.

Pietro Menotti

We develop a functional integral approach to quantum Liouville field theory completely independent of the hamiltonian approach. To this end on the sphere topology we solve the Riemann-Hilbert problem for three singularities of finite strength and a fourth one infinitesimal, by determining perturbatively the Poincare&#39; accessory parameters. This provides t

Shinobu Hosono

We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states and study its monodromy property from the viewpoint of Kontsevich&#39;s homological mirror symmetry. In the case of local mirror symmetry, we will identify a symplectic form, and wi

A. B. Balantekin, J. H. de Jesus, C. Volpe

We explore the possibility of measuring the Weinberg angle from (anti)neutrino-electron scattering using low energy beta beams, a method that produces single flavour neutrino beams from the beta-decay of boosted radioactive ions. We study how the sensitivity of a possible measurement depends on the intensity of the ion beam and on a combination of different

Szabolcs Borsanyi

Nonperturbative approximation schemes are inevitable even in weakly coupled theories if the nonequilibrium behavior of quantum fields is investigated. The two-particle irreducible (2PI) effective action formalism provides an efficient framework for obtaining resummation schemes both in and out of equilibrium. We briefly review the these techniques and discus

Cristian Pisano

In this thesis the polarized and unpolarized photon distributions of the nucleon (proton, neutron) $(Δ)γ^N$, evaluated in the equivalent photon approximation (EPA), are computed theoretically and the possibility of their experimental determination is demonstrated. Both of them consist of two components: the elastic ones, $(Δ)γ^N_{\rm el}$, due to $N\to γN $,

Eduardo Ponton, Lin Wang

We consider general field theories in six dimensions, with two of the dimensions compactified on a T_{2}/Z_{4} orbifold. Six-dimensional Weyl fermions propagating on this background give rise to a chiral zero-mode, which makes them interesting for phenomenological applications. The compact two-dimensional space is flat and has three conical singularities. We

Alexei Yu. Smirnov

Status of determination of the neutrino masses and mixing is formulated and possible uncertainties, especially due to presence of the sterile neutrinos, are discussed. The data hint an existence of special ``neutrino&#39;&#39; symmetries. If not accidental these symmetries have profound implications and can substantially change the unification program. The k

J. A. R. Cembranos, A. Dobado, A. L. Maroto

In brane-world models with low tension, the fluctuations of the brane along the extra dimensions (branons) are the only relevant new low-energy modes. Such branon fields are in general massive, stable and weakly interacting, and accordingly they are natural candidates to explain the universe missing mass problem. On the other hand, the branon phenomenology i

J. Bernabeu, J. Burguet-Castell, C. Espinoza, M. Lindroos

In the last few years spectacular results have been achieved with the demonstration of non vanishing neutrino masses and flavour mixing. The ultimate goal is the understanding of the origin of these properties from new physics. In this road, the last unknown mixing $[U_{e3}]$ must be determined. If it is proved to be non-zero, the possibility is open for Cha

Ya. I. Azimov

After some brief personal recollections about V.N.Gribov, I demonstrate that his results and ideas on complex angular momenta may be applied in unfamiliar directions. As an example, it is shown, that any strong interaction amplitude, satisfying dispersion relation (in momentum transfer), has infinite number of energy-plane poles, both for exotic and non-exot

J. Bernabeu, J. Burguet-Castell, C. Espinoza, M. Lindroos

Neutrino oscillation experiments from different sources have demonstrated non-vanishing neutrino masses and flavour mixings. The next experiments have to address the determination of the connecting mixing U(e3) and the existence of the CP violating phase. Whereas U(e3) measures the strength of the oscillation probability in appearance experiments, the CP pha

A. Bialas, W. Czyz, K. Zalewski

Relation between Renyi entropies and moments of the Wigner function, representing the quantum mechanical description of the M-particle semi-inclusive distribution at freeze-out, is investigated. It is shown that in the limit of infinite volume of the system, the classical and quantum descriptions are equivalent. Finite volume corrections are derived and show

A. Jakovac

In the naive form of most resummations we get into conflict with order-by-order renormalization. We present a method that is capable to ensure UV consistency of any resummations satisfying certain conditions. The method is based on the observation that resummation is equivalent with a calculation in an adequate perturbation scheme, followed by a renormalizat

Stefan Scherer

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic polarizabilities of the pion. These have recently been extracted from an experiment on radiative $π^+$ photoproduction from the pro

Zhi-zhong Xing, Shun Zhou

A simple extension of the standard model is to introduce $n$ heavy right-handed Majorana neutrinos and preserve its $\rm SU(2)^{}_L \times U(1)^{}_Y$ gauge symmetry. Diagonalizing the $(3+n) \times (3+n)$ neutrino mass matrix, we obtain an exact analytical expression for the effective mass matrix of $ν^{}_e$, $ν^{}_μ$ and $ν^{}_τ$. It turns out that the $3\t

Kazuo Ghoroku, Masanobu Yahiro

A holographic model of QCD at finite temperature is proposed and thermal properties for light mesons are examined in terms of this model. We find interesting temperature dependences of masses and decay constants for several mesons, and Nambu-Goldstone theorem for the chiral symmetry breaking and generalized Gell-Mann-Oakes-Renner relation are assured at fini

T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio

Among 12672 Feynman diagrams contributing to the electron anomalous magnetic moment at the tenth order, 6354 are the diagrams having no lepton loops, i.e., those of quenched type. Because the renormalization structure of these diagrams is very complicated, some automation scheme is inevitable to calculate them. We developed an algorithm to write down FORTRAN

G. Ganbold

The formation and spectrum of two-particle bound states are investigated within a simple relativistic quantum field model with the Yukawa-type interaction. Within this approach, relatively weakly interacting quarks and gluons form stable bound states under the analytic confinement. By introducing a minimal set of free parameters (the quark masses, the coupli

K. Terasaki

A brief overview of charm scalar resonances is given. It is demonstrated that experimental data on the D_s^{*+}gamma and D_s^+pi^0 decays of D_{s0}^+(2317) favor its assignment to the I_3=0 component of iso-triplet four-quark mesons. The broad bump just below a large peak of the well-known D_2^* meson in the Dpi channel is also studied.

C. Schmidt, Z. Fodor, S. Katz

We study the density of states method to explore the phase diagram of the chiral transition on the temperature and quark chemical potential plane. Four quark flavors are used in the analysis. Though the method is quite expensive small lattices show an indication for a triple-point connecting three different phases on the phase diagram.

O. Kaczmarek, F. Zantow

We discuss quark antiquark energies and the screening mass in hot QCD using the non-perturbative lattice approach. For this purpose we analyze properties of quark antiquark energies and entropies at infinitely large separation of the quark antiquark pair at low and high temperatures. In the limit of high temperatures these energies and entropies can be relat