**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1996; 223 pp; Hardcover

MSC: Primary 81; 82; 83; Secondary 47

Print ISBN: 978-0-8218-0425-4

Product Code: TRANS2/177

Print ISBN: 978-0-8218-0425-4

Product Code: TRANS2/177

List Price: $126.00

Individual Member Price: $100.80

**Electronic ISBN: 978-1-4704-3388-8
Product Code: TRANS2/177.E**

List Price: $126.00

Individual Member Price: $100.80

# Topics in Statistical and Theoretical Physics

Share this page *Edited by *
*R. L. Dobrushin; R. A. Minlos; M. A. Shubin; A. M. Vershik*

This is the second of two volumes dedicated to the
scientific heritage of F. A. Berezin (1931–1980). 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 quasi-classical approximation and mathematical models of
statistical physics.

#### Table of Contents

# Table of Contents

## Topics in Statistical and Theoretical Physics

- Cover Cover11
- Frontispiece iv5
- Title page v6
- Copyright page vi7
- Contents vii8
- Foreword ix10
- Berezin quantization and unitary representations of Lie groups 112
- Generalized field-antifield formalism 2334
- Semiclassical integral equations on the semiaxis 4556
- Integrability of ๐=3 super Yang-Mills equations 5162
- Estimates of semi-invariants for the Ising model at low temperatures 5970
- Pseudoclassical theory of a relativistic spinning particle 8394
- Dual waves 105116
- Geometric quantization in the Fock space 123134
- The three-body problem in radioactive decay: The case of one atom and at most two photons 159170
- The moduli space of instantons in ๐=2 supersymmetrical ๐-models 195206
- Superanalogs of symplectic and contact geometry and their applications to quantum field theory 203214
- Remarks on the delocalization transition for heteropolymers 219230
- Back Cover Back Cover1237

#### 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.