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June 1995 arXiv papers

Showing 1–100 of 1,161 papers

  1. Ling-Lie Chau, Itaru Yamanaka

    We give an explicit construction of the quantum-group generators ---local, semi-local, and global --- in terms of the group-valued quantum fields $\tilde g$ and $\tilde g^{-1}$ in the Wess-Zumino-Novikov-Witten (WZNW) theory. The algebras among the generators and the fields make concrete and clear the bi-module properties of the $\tilde g$ and the $\tilde g^

  2. Sergey N. Solodukhin

    The one-loop quantum corrections to geometry and thermodynamics of black hole are studied for the two-dimensional RST model. We chose boundary conditions corresponding to the eternal black hole being in the thermal equilibrium with the Hawking radiation. The equations of motion are exactly integrated. The one of the solutions obtained is the constant curvatu

  3. Guy D. Moore, Tomislav Prokopec

    We consider the dynamics of bubble growth in the Minimal Standard Model at the electroweak phase transition and determine the shape and the velocity of the phase boundary, or bubble wall. We show that in the semi-classical approximation the friction on the wall arises from the deviation of massive particle populations from thermal equilibrium. We treat these

  4. S. Emery, H. Jirari, O. Piguet

    We consider the relation between the five-dimensional BF model and a four-dimensional local current algebra from the point of view of perturbative local quantum field theory. We use an axial gauge fixing procedure and show that it allows for a well defined theory which actually can be solved exactly.

  5. Edward J. Shaya, P. J. E. Peebles, R. Brent Tully

    The numerical action variational principle is used to find fully nonlinear solutions for the orbits of the mass tracers given their present redshifts and angular positions and the cosmological boundary condition that the peculiar velocities are small at high redshift. A solution predicts the distances of the mass tracers, and is tested by a comparison with m

  6. D. R. Karakhanyan

    The effective action for 2d-gravity in Weyl-invariant regularization is extended to supersymmetric case. The super area-preserving invariance and cocyclic properties under general supergravitational transformations of the last action is shown.

  7. S. Massaglia, G. Bodo, A. Ferrari

    We present the results of a numerical analysis of the propagation and interaction of a supersonic jet with the external medium. We discuss the motion of the head of the jet into the ambient in different physical conditions, carrying out calculations with different Mach numbers and density ratios of the jet to the exteriors. Performing the calculation in a re

  8. Johann Rafelski, Jean Letessier, Ahmed Tounsi

    We analyze current experimental results and explore, as function of the collision energy and stopping in relativistic nuclear collisions, the production yields of strange antibaryons, assuming formation of a deconfined thermal QGP-fireball which undergoes a sudden hadronisation.

  9. Jean Letessier, Johann Rafelski, Ahmed Tounsi

    We explore, as function of the collision energy and stopping in relativistic nuclear collisions, the production yields of strange particles, in particular strange antibaryons,assuming formation of a deconfined thermal QGP-fireball which undergoes a sudden hadronisation. The non-equilibrium freeze-out conditions are established and strange antibaryon excitati

  10. J. S. Dowker, J. S. Apps

    Functional determinants on various domains of the sphere and flat space are presented for scalar and spinor fields.

  11. F. Sylos Labini, M. Montuori, L. Pietronero

    We analyze the spatial and the luminosity properties of the Perseus-Pisces redshift survey. We find that the two point correlation function (CF) $Γ(r)$ is a power law up to the sample effective depth ($\sim 30 h^{-1}Mpc$), showing the fractal nature of the galaxy distribution in this catalog. The fractal dimension turns out to be $D \approx 2$. We also consi

  12. Arkadiusz Blaut, Jerzy Kowalski-Glikman

    In this paper we discuss the quantum potential approach of Bohm in the context of quantum cosmological model. This approach makes it possible to convert the wavefunction of the universe to a set of equations describing the time evolution of the universe. Following Ashtekar et.\ al., we make use of quantum canonical transformation to cast a class of quantum c

  13. Elijah Liflyand

    Conditions for a function (number sequence) to be a multiplier on the space of integrable functions on $\Bbb R$ ($\Bbb T$) are given. This generalizes recent results of Giang and Moricz.

  14. H. Alt, H. -D. Graef, R. Hofferbert, H. Rehfeld

    The escape of an ensemble of particles from the Bunimovich stadium via a small hole has been studied numerically. The decay probability starts out exponentially but has an algebraic tail. The weight of the algebraic decay tends to zero for vanishing hole size. This behaviour is explained by the slow transport of the particles close to the marginally stable b

  15. J. L. Ritman, N. Herrmann, D. Best, the FOPI collaboration

    Particles with strange quark content produced in the system 1.93 AGeV $^{58}$Ni on $^{58}$Ni have been investigated at GSI Darmstadt with the FOPI detector system. The correlation of these produced particles was analyzed with respect to the reaction plane. Lambda baryons exhibit a very pronounced sideward flow pattern which is qualitatively similar to the pr

  16. A. Abada, R. Alkofer, H. Reinhardt, H. Weigel

    We investigate the monopole excitations of the soliton in the Nambu--Jona--Lasinio model. By studying the solutions to the corresponding Bethe--Salpeter equation in the background of the soliton we exclude the existence of real large amplitude fluctuations. This allows us to treat the collective coordinate for the monopole excitations, which parametrizes the

  17. Amanda W. Peet

    Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic string theory compactified on a $p$ dimensional torus, for $D=(10-p)=4 \ldots 9$. We study in particular a one--parameter

  18. David B. Kaplan

    Three lectures on effective field theory given at the Seventh Summer School in Nuclear Physics, Seattle June 19-30 1995.

  19. R. Bijker, A. Frank

    We extend the algebraic-eikonal approach to medium energy proton scattering from odd-mass nuclei by combining the eikonal approximation for the scattering with a description of odd-mass nuclei in terms of the interacting boson-fermion model. We derive closed expressions for the transition matrix elements for one of the dynamical symmetries and discuss the in

  20. Zhenping Li

    In this paper, we present our study on the $η$ photoproduction based on the chiral quark model. We find that quark model provides a very good description of the $η$ production with much less parameters, and the threshold region is not a reliable source to determine the $ηNN$ coupling constant due to its strong dependence on the properties of the resonance $S

  21. R. Nayak, V. S. Uma Maheswari, L. Satpathy

    Starting with a two-body effective nucleon-nucleon interaction, it is shown that the infinite nuclear matter model of atomic nuclei is more appropriate than the conventional Bethe-Weizsacker like mass formulae to extract saturation properties of nuclear matter from nuclear masses. In particular, the saturation density thus obtained agrees with that of electr

  22. S. Fox, H. J. F. Jansen

    First principles calculations of the electronic structure of trigonal iron were performed using density function theory. The results are used to predict lattice spacings, magnetic moments and elastic properties; these are in good agreement with experiment for both the bcc and fcc structures. We find however, that in extracting these quantities great care mus

  23. Bong H. Lian, Gregg J. Zuckerman

    We give a brief introduction to the study of the algebraic structures -- and their geometrical interpretations -- which arise in the BRST construction of a conformal string background. Starting from the chiral algebra $\cA$ of a string background, we consider a number of elementary but universal operations on the chiral algebra. From these operations we dedu

  24. Javier P. Muniain, J. Wudka

    In this paper we consider the contributions of anomalous commutators to various QCD sum rules. Using a combination of the BJL limit with the operator product expansion the results are presented in terms of the vacuum condensates of gauge invariant operators. It is demonstrated that the anomalous contributions are no negligible and reconcile various apparentl

  25. Pierre Binetruy, Mary K. Gaillard

    We clarify the role of approximate S-duality in effective supergravity theories that are the low energy limits of string theories, and show how this partial symmetry may be used to constrain effective lagrangians for gaugino condensation.

  26. Alexandros A. Kehagias

    We examine 4-dimensional string backgrounds compactified over a two torus. There exist two alternative effective Lagrangians containing each two $SL(2)/U(1)$ sigma-models. Two of these sigma-models are the complex and the Kähler structures on the torus. The effective Lagrangians are invariant under two different $O(2,2)$ groups and by the successive applicat

  27. I. A. Batalin, I. V. Tyutin

    The Hamiltonian (BFV) and Lagrangian (BV) quantization schemes are proved to be equivalent perturbatively to each other. It is shown in particular that the quantum master equation being treated perturbatively possesses a local formal solution.

  28. Brian Davies, Masato Okado

    The energy and momentum spectrum of the spin models constructed from the vector representation of the quantized affine algebras of type $\B$ and $\D$ are computed using the approach of Davies et al. \cite{DFJMN92}. The results are for the anti-ferromagnetic (massive) regime, and they agree with the mass spectrum found from the factorized S--matrix theory by

  29. Steven B. Giddings, John M. Pierre

    We begin an investigation of supersymmetric theories based on exceptional groups. The flat directions are most easily parameterized using their correspondence with gauge invariant polynomials. Symmetries and holomorphy tightly constrain the superpotentials, but due to multiple gauge invariants other techniques are needed for their full determination. We give

  30. Chong-Xing Yue, Yu-Ping Kuang, Gong-Ru Lu, Ling-De Wan

    In a realistic effective one-family extended technicolor(ETC) model without exact custodial symmetry, we calculate the one-loop corrections to the Z-b-(anti-b) and Z-tau-(anti-tau)vertices from the sideways and diagonal ETC bosons exchange. The result shows that both the Z-->b+anti-b partial width (and the branching ratio) and the tau polarization asymmetry

  31. Stanley J. Brodsky, Wai-Keung Tang, Paul Hoyer

    We discuss heavy quark and quarkonium production in various kinematic regions at the HERA ep collider. In contrast to fixed target experiments, collider kinematics allows the possibility of detailed measurements of particle production in the proton fragmentation region. One thus can study parton correlations in the proton Fock states materialized by the virt

  32. Masayasu Harada, Joseph Schechter

    Starting from a chiral invariant and quark line rule conserving Lagrangian of pseudoscalar and vector nonets we introduce first and second order symmetry breaking as well as quark line rule violating terms and fit the parameters, at tree level, to many strong and electroweak processes. A number of predictions are made. The electroweak interactions are includ

  33. C. Grosse-Knetter, I. Kuss, D. Schildknecht

    Application of a Stueckelberg transformation allows one to connect various Lagrangians which have been independently proposed for non-standard couplings. We discuss the reduction of the number of independent parameters in the Lagrangian and compare symmetry arguments with dimensional arguments.

  34. Manuel Masip, Andrija Rasin

    We consider supersymmetric extensions of the standard model with two pairs of Higgs doublets. We study the possibility that CP violation is generated spontaneously in the scalar sector via vacuum expectation values (VEVs) of the Higgs fields. Using a simple geometrical interpretation of the minimum conditions we prove that the minimum of the tree-level scala

  35. Scott Chapman, Pierre Scotto, Ulrich Heinz

    Using two specific models and a model independent formalism, we show that an ``out-longitudinal'' cross term should be included in any gaussian fits to correlation data. In addition, we show that correlation radii (including the cross term) measure lengths of homogeneity within the source, not necessarily geometric sizes.

  36. P. M. Ferreira, I. Jack, D. R. T. Jones

    We show that in a special class of theories the commonly assumed universal form of the soft supersymmetry--breaking terms is approached in the infra--red limit. The resulting universal scalar mass and trilinear coupling are predicted in terms of the gaugino mass.

  37. Stefano Moretti

    We study the complete process \phphbbww\ using exact matrix element computations at tree-level, at a $\sqrt s=500$ GeV \eeb\ linear collider of the next generation. Incoming photons produced via back-scattering of laser light are considered. Sizable effects due to the finite width of the top quark as well as to the irreducible background to $t\bar t$ product

  38. S. A. Larin, T. van Ritbergen, J. A. M. Vermaseren

    We calculate the large top quark mass expansions for the H -> bb_bar decay rate in the order (alpha_s)^2 and for the H -> gluons decay rate in the order (alpha_s)^3. The obtained expansions rapidly converge in the region of their validity, M_H < 2 m_top, i.e. below the threshold of tt_bar production.

  39. Kacper Zalewski

    Some recent results and problems in the theory of particles containing heavy quarks ar reviewed.

  40. Piotr A. Raczka

    A systematic method is proposed for analyzing the renormalization scheme uncertainties in the next-next-to-leading order QCD predicitions, based on a condition which eliminates schemes that give rise to large cancellations in the expression for the characteristic scheme invariant combination of the expansion coefficients. Using this method it is shown that t

  41. T. Han, R. D. Peccei, X. Zhang

    We study low energy experimental constraints on an anomalous top-quark coupling associated with the flavor-changing neutral current vertex $Z \bar t c$. In view of these constraints, we discuss the experimental observability of the induced rare decay mode $t \rightarrow Zc$, both at the Fermilab Tevatron (with the Main Injector or a luminosity-upgrade) and a

  42. Xiangdong Ji

    The exact matching condition is given for hadron matrix elements calculated in any two different schemes, in particular, in the lattice and dimensional regularization, (modified) minimal subtraction $\overline{\rm MS}$ schemes. The result provides insight into and permits to go beyond Lepage and Mackenzie&#39;s mean field theory of removing tadpole contribut

  43. G. Schierholz

    In this talk I will discuss the current picture of color confinement. In particular, I will show how it can be tested microscopically. It is stressed that the color magnetic monopoles in this picture are dyons. Furthermore, the role of instantons is illuminated.

  44. David Brown

    Path integral methods are used to derive a general expression for the entropy of a black hole in a diffeomorphism invariant theory. The result, which depends on the variational derivative of the Lagrangian with respect to the Riemann tensor, agrees with the result obtained from Noether charge methods by Iyer and Wald. The method used here is based on the dir

  45. Kip S. Thorne

    A review is given of recent research on gravitational waves from compact bodies and its relevance to the LIGO/VIRGO international network of high-frequency (10 to 10,000 Hz) gravitational-wave detectors, and to the proposed LISA system of low-frequency (0.1 to 0.0001 Hz) detectors. The sources that are reviewed are ordinary binary star systems, binaries made

  46. Eric Poisson, Matt Visser

    The class of spherically-symmetric thin-shell wormholes provides a particularly elegant collection of exemplars for the study of traversable Lorentzian wormholes. In the present paper we consider linearized (spherically symmetric) perturbations around some assumed static solution of the Einstein field equations. This permits us to relate stability issues to

  47. C. O. Alley, P. K. Aschan, H. Yilmaz

    It is shown that an article by C. W. Misner contains serious errors. In particular, the claim that the Yilmaz theory of gravitation cancels the Newtonian gravitational interaction is based on a false premise. With the correct premise the conclusion of the article regarding the absence of gravitational interactions applies to general relativity and not to the

  48. P. W. Anderson

    Measurements of infrared conductivity in the normal state of the cuprate layer metals show a characteristic behavior in the plane of the layers which is in essential agreement among many experiments. A simple parametrization of this behavior, proposed originally by Collins and Schlesinger, and exploited by N. Bontemps and her group, which gives an adequate f

  49. Géza Ódor, Attila Szolnoki

    The directed percolation (DP) hypothesis for stochastic, range-4 cellular automata with acceptance rule $y \le\sum_{j=-4}^4 s_{i-j} \le 6$, in cases of $y < 6$ was investigated in one and two dimensions. Simulations, mean-field renormalization group and coherent anomaly calculations show that in one dimension the phase transitions for $y<4$ are continuous an

  50. L. Shekhtman, L. I. Glazman

    We investigate the electron tunneling into the edge of a clean weakly interacting two-dimensional electron gas. It is shown that the corresponding differential conductance $G(V)$ has a cusp at zero bias, and is characterized by a universal slope $|dG/dV|$ at $V=0$. This singularity originates from the electron scattering on the Friedel oscillation caused by

  51. Helge Frauenkron, Peter Grassberger

    Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-$d$ nonlinear Schrödinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an interface separating two regions of constant potential. We find that the soliton can break up into two solitons, eventually

  52. Krzysztof Gawedzki, Antti Kupiainen

    We establish anomalous inertial range scaling of structure functions for a model of advection of a passive scalar by a random velocity field. The velocity statistics is taken gaussian with decorrelation in time and velocity differences scaling as $|x|^{κ/2}$ in space, with $0\leqκ< 2$. The scalar is driven by a gaussian forcing acting on spatial scale $L$ an

  53. I. M. Gioia, J. P. Henry, G. A. Luppino, D. I. Clowe

    This Letter presents the serendipitous discovery of a large arc in an X-ray selected cluster detected in the Rosat North Ecliptic Pole (NEP) survey. The cluster, associated with Abell 2280, is identified as the optical counterpart of the X-ray source RXJ 1743.5+6341. This object is a medium--distant z=0.326 and luminous (L_(0.5-2 kev) = 5.06x10**44 erg/s) cl

  54. Mirek Giersz, Douglas C. Heggie

    We describe results from large numbers of $N$-body simulations containing from $250$ to $1000$ stars each. The distribution of stellar masses is a power law, and the systems are isolated. While the collapse of the core exhibits the expected segregation of different masses, we find that the post-collapse evolution is, at a first approximation, homologous. Thi

  55. S. Cristiani, S. Trentini, F. La Franca, I. Aretxaga

    The long-term variability of a sample of 486 optically selected QSOs in the fields of the SA94, SA57 and SGP has been studied. The relations of variability with luminosity and redshift have been investigated by means of statistical estimators that are ``robust&#39;&#39; and allow at the same time to eliminate the influence of the measurement errors. The anal

  56. Eric W. Hirschmann, Douglas M. Eardley

    This paper continues a study on Choptuik scaling in gravitational collapse of a complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution, and calculate the critical exponent for black hole mass, $γ\approx 0.387106$. We also show that this critical solution is

  57. Christopher D. Carone, Hitoshi Murayama

    We discuss the phenomenology of a light U(1) gauge boson, $\gamma_B$, that couples only to baryon number. Gauging baryon number at high energies can prevent dangerous baryon-number violating operators that may be generated by Planck scale physics. However, we assume at low energies that the new U(1) gauge symmetry is spontaneously broken and that the $\gamma

  58. Jacob Sagi, Ian Affleck

    A theory of Nuclear Magnetic Resonance (NMR) is developed for integer-spin, one-dimensional antiferromagnets, which exhibit the Haldane gap. We consider free boson, free fermion and non-linear sigma model approaches, all of which give similar results. Detailed anisotropy and magnetic field dependence is calculated and compared with experiment.

  59. Füsun Akman

    We define the concept of higher order differential operators on a general noncommutative, nonassociative superalgebra A, and show that a vertex operator superalgebra has plenty of them, namely modes of vertex operators. A linear operator Δis a differential operator of order at most r if an inductively defined (r+1)-form Φ_Δ^{r+1} is identically zero. When A

  60. Sayan Kar, Deshdeep Sahdev

    Evolving Lorentzian wormholes with the required matter satisfying the Energy conditions are discussed. Several different scale factors are used and the corresponding consequences derived. The effect of extra, decaying (in time) compact dimensions present in the wormhole metric is also explored and certain interesting conclusions are derived for the cases of

  61. Rainer Dick

    In this talk I present recent results on Lorentz covariant correlation functions $\langle q(p_1)\overline{q}(p_2)\rangle$ on the cone $p^2=0$. In particular, chiral symmetry breaking terms are constructed which resemble fermionic 2--point functions of 2--D CFT up to a scalar factor.

  62. M. Beneke, V. M Braun

    The resummed Drell-Yan cross section in the double-logarithmic approximation suffers from infrared renormalons. Their presence was interpreted as an indication for non-perturbative corrections of order $\lqcd/(Q(1-z))$. We find that, once soft gluon emission is accurately taken into account, the leading renormalon divergence in the resummed cross section is

  63. F. Antonuccio, S. Dalley

    We study $1+1$-dimensional $SU(N)$ gauge theories with adjoint scalar matter representations, based on a dimensional truncation of $2+1$ and $3+1$-dimensional pure QCD, which approximate the dynamics of transversely polarized gluons. The glueballs are investigated non-perturbatively using light-front quantisation, detailed spectra and wavefunctions being obt

  64. R. Mertig, W. L. van Neerven

    We present the calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)\; (i,j = q,g)$ contributing to the next-to-leading order corrected spin structure function $g_1(x,Q^2)$. These splitting functions, which are presented in the \MSbs, are derived from the order $α_s^2$ contribution to the anomalous dimensions $γ_{ij}^{m} \; (i,j = q,g)$. The

  65. Ian I. Kogan, Kai-Ming Lee

    We discuss the structure of the vacua in $O(2)$ topologically massive gauge theory on a torus. Since $O(2)$ has two connected components, there are four classical vacua. The different vacua impose different boundary conditions on the gauge potentials. We also discuss the non-perturbative transitions between the vacua induced by vortices of the theory.

  66. M. H. Holzscheiter, X. Feng, T. Goldman, N. S. P. King

    Up to one million antiprotons from a single LEAR spill have been captured in a large Penning trap. Surprisingly, when the antiprotons are cooled to energies significantly below 1 eV, the annihilation rate falls below background. Thus, very long storage times for antiprotons have been demonstrated in the trap, even at the compromised vacuum conditions imposed

  67. R. R. Zapatrin

    The emphasis is made on the juxtaposition of (quantum~theorem) proving versus quantum (theorem~proving). The logical contents of verification of the statements concerning quantum systems is outlined. The Zittereingang (trembling input) principle is introduced to enhance the resolution of predicate satisfiability problem provided the processor is in a positio

  68. R. Bijker, A. Leviatan

    We study the electromagnetic properties of the nucleon and its excitations in a collective model. In the ensuing algebraic treatment all results for helicity amplitudes and form factors can be derived in closed form in the limit of a large model space. We discuss nucleon form factors and transverse electromagnetic couplings in photo- and electroproduction, i

  69. Thomas Meissner

    QCD sum rules are used to calculate the $q^2$ dependence of the $πNN$ coupling $g_{πNN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point function of one pseudoscalar and two nucleon currents up to order four in the operator product expansion. The Borel transform i

  70. G. Knöchlein, D. Drechsel, L. Tiator

    Eta photo- and electroproduction off the nucleon is investigated in an effective lagrangian approach that contains Born terms and both vector meson and nucleon resonance contributions. In particular, we review and develop the formalism for coincidence experiments with polarization degrees of freedom. The different response functions appearing in single and d

  71. S. Scherer

    We discuss the most general form of the electromagnetic vertex of an off-shell pion. The framework of chiral perturbation theory is used to illustrate the representation dependence of the electromagnetic three-point Green&#39;s function. For that purpose we discuss the concept of field transformations which, in comparison with the standard Gasser and Leutwyl

  72. F. Kirchhoff, M. J. Gillan, J. M. Holender

    Ab initio molecular dynamics simulation is used to investigate the structure and dynamics of liquid Se at temperatures of 870 and 1370~K. The calculated static structure factor is in excellent agreement with experimental data. The calculated radial distribution function gives a mean coordination number close to 2, but we find a significant fraction of one-fo

  73. Z. W. Lu, B. M. Klein, A. Zunger

    Spin-polarization is known to lead to important {\it magnetic} and {\it optical} effects in open-shell atoms and elemental solids, but has rarely been implicated in controlling {\it structural} selectivity in compounds and alloys. Here we show that spin-polarized electronic structure calculations are crucial for predicting the correct $T=0$ crystal structure

  74. Ilya Kapovich

    We construct an example of a torsion free freely indecomposable finitely presented non-quasiconvex subgroup $H$ of a word hyperbolic group $G$ such that the limit set of $H$ is not the limit set of a quasiconvex subgroup of $G$. In particular, this gives a counterexample to the conjecture of G.Swarup that a finitely presented one-ended subgroup of a word hyp

  75. Xianghong Gong

    We study the global invariants of real analytic manifolds in the complex space with respect to the group of holomorphic unimodular transformations. We consider only totally real manifolds which admits a certain fibration over the circle. We find a complete set of invariants for totally real tori in C^n which are close to the standard torus. The invariants ar

  76. Xianghong Gong

    We study the normalization of integrable analytic vector fields with a nilpotent linear part. We prove that such an analytic vector field can be transformed into a certain form by convergent transformations when it has a non-singular formal integral. In particular, we show that a formally linearizable analytic vector field with a nilpotent linear part is lin

  77. Xianghong Gong

    We study real Lagrangian analytic surfaces in C^2 with a non-degenerate complex tangent. Webster proved that all such surfaces can be transformed into a quadratic surface by formal symplectic transformations of C^2. We show that there is a certain dense set of real Lagrangian surfaces which cannot be transformed into the quadratic surface by any holomorphic

  78. Xianghong Gong

    We show that for a certain family of integrable reversible transformations, the curves of periodic points of a general transformation cross the level curves of its integrals. This leads to the divergence of the normal form for a general reversible transformation with integrals. We also study the integrable holomorphic reversible transformations coming from r

  79. K. Clubok, M. B. Halpern

    Working directly on affine Lie groups, we construct several new formulations of the WZW model. In one formulation WZW is expressed as a one-dimensional mechanical system whose variables are coordinates on the affine Lie group. When written in terms of the affine group element, this formulation exhibits a two-dimensional WZW term. In another formulation WZW i

  80. Andre LeClair, Dennis Nemeschansky

    The quantum affine symmetry of the sine-Gordon theory at q^2 = 1, which occurs at the reflectionless points, is studied. Conserved currents that correspond to the closure of simple root generators are considered, and shown to be local. We argue that they satisfy the affine sl(2) algebra. Examples of these currents are explicitly constructed.

  81. T. Hakobyan, A. Sedrakyan

    We construct the family of spin chain Hamiltonians, which have affine $U_q g$ guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine $U_q g_0$ quantum group symmetry, but have the degeneracy of levels, corresponding to affine $U_q g$. The space of states of these chaines are formed

  82. C. M. Hull

    The heterotic string occurs as a soliton of the type I superstring in ten dimensions, supporting the conjecture that these two theories are equivalent. The conjecture that the type IIB string is self-dual, with the strong coupling dynamics described by a dual type IIB theory, is supported by the occurrence of the dual string as a Ramond-Ramond soliton of the

  83. B. Eynard, C. Kristjansen

    We present an exact solution of the $O(n)$ model on a random lattice. The coupling constant space of our model is parametrized in terms of a set of moment variables and the same type of universality with respect to the potential as observed for the one-matrix model is found. In addition we find a large degree of universality with respect to $n$; namely for $

  84. Shun&#39;ya Mizoguchi

    The non-linear sigma model of the dimensionally reduced Einstein (-Maxwell) theory is diagonally embedded into that of the two-dimensional heterotic string theory. Consequently, the embedded string backgrounds satisfy the (electro-magnetic) Ernst equation. In the pure Einstein theory, the Matzner-Misner SL(2,{\bf R}) transformation can be viewed as a change

  85. K. Sailer, W. Greiner

    It is shown that the renormalized finite temperature effective potential for continuum $SU(2)$ Yang-Mills theory develops a non-perturbative minimum for sufficiently strong coupling, i.e. below a critical temperature. The corresponding phase can be the candidate for the confining phase of the continuum theory and becomes energetically favoured basicly due to

  86. Howard Baer, Michal Brhlik, Ray Munroe, Xerxes Tata

    Working within the framework of the minimal supergravity model with gauge coupling unification and radiative electroweak symmetry breaking (SUGRA), we map out regions of parameter space explorable by experiments at LEP2, for center of mass energy options of $\sqrt{s}=150,\ 175$, $190$ and 205 GeV. We compute signals from all accessible $2 \rightarrow 2$ SUSY

  87. Jogesh C. Pati

    It is noted that in the context of a supersymmetric preonic approach to unification, gravity, though weak, can play an essential role in determining some crucial aspects of low-energy physics. These include: (i) SUSY-breaking, (ii) electroweak symmetry-breaking, and (iii) generation of masses of quarks and leptons, all of which would vanish if we turn off gr

  88. M. A. Perez, J. J. Toscano, J. Wudka

    We consider the Standard Model with an extended scalar sector, and study the possible effects of the physics underlying such a model using an effective lagrangian parametrization. It is found that certain two photon processes offer windows where such heavy interactions might be glimpsed, but the realization of this expectation requires enormous experimental

  89. B. Kileng, P. Osland, P. N. Pandita

    We consider the production and two-photon decay of the $CP$-even Higgs bosons ($h^0$ and $H^0$) of the Minimal Supersymmetric Standard Model (MSSM) at the Large Hadron Collider. We study in detail the dependence of the cross section on various parameters of the MSSM, especially the dependence on the mixing effects in the squark sector due to the Higgs biline

  90. A. Capella, A. Kaidalov, C. Merino, D. Pertermann

    We show that the previously introduced CKMT model, based on conventional Regge theory, gives a good description of the HERA data on the structure function F_2^D for large rapidity gap (diffractive) events. These data allow, not only to determine the valence and sea quark content of the Pomeron, but also, through their Q^2 dependence, give information on its

  91. Manuel Drees

    The cross--section for two--photon events with (at least) two independent partonic scatters is estimated, for LEP energies as well as a 500 GeV ``photon collider&#34;. This results in events with (at least) four central (mini--)jets. Such events might be found in existing data, and should be clearly seen at the second stage of LEP.

  92. Liliana E. Simone, Eric Poisson, Clifford M. Will

    The gravitational-wave energy flux produced during the head-on infall and collision of two compact objects is calculated using two approaches: (i) a post-Newtonian method, carried to second post-Newtonian order beyond the quadrupole formula, valid for systems of arbitrary masses; and (ii) a black-hole perturbation method, valid for a test-body falling radial

  93. Steven Carlip

    I review the classical and quantum properties of the (2+1)-dimensional black hole of Ba{ñ}ados, Teitelboim, and Zanelli. This solution of the Einstein field equations in three spacetime dimensions shares many of the characteristics of the Kerr black hole: it has an event horizon, an inner horizon, and an ergosphere; it occurs as an endpoint of gravitational

  94. Simonetta Frittelli, Oscar Reula

    We find a choice of variables for the 3+1 formulation of general relativity which casts the evolution equations into (flux-conservative) symmetric-hyperbolic first order form for arbitrary lapse and shift, for the first time. We redefine the lapse function in terms of the determinant of the 3-metric and a free function U which embodies the lapse freedom. By

  95. Giampiero Esposito, Hugo A. Morales-Tecotl, Giuseppe Pollifrone

    Local supersymmetry leads to boundary conditions for fermionic fields in one-loop quantum cosmology involving the Euclidean normal to the boundary and a pair of independent spinor fields. This paper studies the corresponding classical properties, i.e. the classical boundary-value problem and boundary terms in the variational problem. Interestingly, a link is

  96. Giampiero Esposito, Gabriele Gionti, Giuseppe Marmo, Cosimo Stornaiolo

    Previous work in the literature has studied the Hamiltonian structure of an R-squared model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. Within the framework of Dirac&#39;s theory, torsion is found to lead to a second-class primary constraint linear in the momenta and a second-class secondary constraint quadratic in the momenta. T

  97. Andras Csordas, Robert Graham

    The Hartle-Hawking `no-boundary&#39; state is constructed explicitly for the recently developed supersymmetric minisuperspace model with non-vanishing fermion number.

  98. Hugo A. Morales-Tecotl, Giampiero Esposito

    This paper studies the self-dual Einstein-Dirac theory. A generalization is obtained of the Jacobson-Smolin proof of the equivalence between the self-dual and Palatini purely gravitational actions. Hence one proves equivalence of self-dual Einstein-Dirac theory to the Einstein-Cartan-Sciama-Kibble-Dirac theory. The Bianchi symmetry of the curvature, core of

  99. Claude LeBrun

    We consider compact complex surfaces with Hermitian metrics which are Einstein but not Kaehler. It is shown that the manifold must be CP2 blown up at 1,2, or 3 points, and the isometry group of the metric must contain a 2-torus. Thus the Page metric on CP2#(-CP2) is almost the only metric of this type.

  100. B. G. Konopelchenko, I. A. Taimanov

    A new approach is proposed for study structure and properties of the total squared mean curvature $W$ of surfaces in ${\bf R}^3$. It is based on the generalized Weierstrass formulae for inducing surfaces. The quantity $W$ (Willmore functional) is shown to be invariant under the modified Novikov--Veselov hierarchy of integrable flows. The $1+1$--dimensional c