American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1996; 223 pp; hardcover Volume: 177 ISBN10: 0821804251 ISBN13: 9780821804254 List Price: US$120 Member Price: US$96 Order Code: TRANS2/177
 This is the second of two volumes dedicated to the scientific heritage of F. A. Berezin (19311980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization and Grassmannian analysis ("supermathematics"). Collected here are papers by many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in statistical and theoretical physics and allied areas of mathematics. In particular, several papers discuss various aspects of quantum field theory and related questions of supersymmetry, geometry, and representation theory. Other papers are devoted to problems of quasiclassical approximation and mathematical models of statistical physics. Readership Graduate students and research mathematicians specializing in mathematical problems related to quantum field theory and statistical physics, including related problems of geometry, differential equations, and representation theory. Table of Contents  D. BarMoshe and M. S. Marinov  Berezin quantization and unitary representations of Lie groups
 I. A. Batalin and I. V. Tyutin  Generalized fieldantifield formalism
 A. M. Budylin and V. S. Buslaev  Semiclassical integral equations on the semiaxis
 Ch. Devchand and V. Ogievetsky  Integrability of \(N=3\) super YangMills equations
 R. L. Dobrushin  Estimates of semiinvariants for the Ising model at low temperatures
 D. M. Gitman  Pseudoclassical theory of a relativistic spinning particle
 R. Kallosh  Dual waves
 V. P. Maslov and O. Yu. Shvedov  Geometric quantization in the Fock space
 R. Minlos and H. Spohn  The threebody problem in radioactive decay: The case of one atom and at most two photons
 M. I. Monastyrsky and S. M. Natanzon  The moduli space of instantons in \(N=2\) supersymmetrical \(\sigma\)models
 A. Schwarz  Superanalogs of symplectic and contact geometry and their applications to quantum field theory
 Ya. G. Sinai and H. Spohn  Remarks on the delocalization transition for heteropolymers
