**CRM Proceedings & Lecture Notes**

Volume: 7;
1994;
234 pp;
Softcover

MSC: Primary 81;

**Print ISBN: 978-0-8218-0365-3
Product Code: CRMP/7**

List Price: $78.00

AMS Member Price: $62.40

MAA Member Price: $70.20

**Electronic ISBN: 978-1-4704-3921-7
Product Code: CRMP/7.E**

List Price: $73.00

AMS Member Price: $58.40

MAA Member Price: $65.70

# Mathematical Quantum Theory I: Field Theory and Many-Body Theory

Share this page *Edited by *
*J. Feldman; R. Froese; L. M. Rosen*

A co-publication of the AMS and Centre de Recherches Mathématiques

This book is the first volume of the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The seminar was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The subject of the first session, quantum field theory and many-body theory, is covered in the present volume; papers from the second session, on Schrödinger operators, are in volume 2. Each session featured a series of minicourses, consisting of approximately four one-hour lectures, designed to introduce students to current research in a particular area. In addition, about thirty speakers gave one-hour expository lectures. With contributions by some of the top experts in the field, this book provides an overview of the state of the art in mathematical quantum field and many-body theory.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Readership

Advanced graduate students and mathematical physicists.

# Table of Contents

## Mathematical Quantum Theory I: Field Theory and Many-Body Theory

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Weak perturbations of Gaussian measures 110
- Fermionic many-body models 2938
- Conformal field theory and geometry of strings 5766
- Cluster expansions with small/large field conditions 99108
- Percolation theory and the phase structure of two-dimensional classical ferromagnets 153162
- Navier and Stokes meet the wavelet, II 163172
- Applications of the renormalization group 171180
- End-to-end distance for a four-dimensional self-avoiding walk 191200
- The Falicov-Kimball model of interacting electrons 197206
- Radiative decay of an atom in a massless quantised field 203212
- The Knizhnik-Zamolodchikov-Bernard equation on the torus 211220
- Dual potentials of free Dirac currents as exactly soluble models 221230
- Back Cover Back Cover1244