**CRM Monograph Series**

Volume: 16;
2002;
115 pp;
Hardcover

MSC: Primary 82;

Print ISBN: 978-0-8218-2878-6

Product Code: CRMM/16

List Price: $44.00

Individual Member Price: $35.20

**Electronic ISBN: 978-1-4704-3861-6
Product Code: CRMM/16.E**

List Price: $44.00

Individual Member Price: $35.20

# Fermionic Functional Integrals and the Renormalization Group

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*Joel Feldman; Horst Knörrer; Eugene Trubowitz*

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

This book, written by well-known experts in the field, offers a concise summary
of one of the latest and most significant developments in the theoretical
analysis of quantum field theory.

The renormalization group is the name given to a technique for analyzing the
qualitative behavior of a class of physical systems by iterating a map on the
vector space of interactions for the class. In a typical nonrigorous
application of this technique, one assumes, based on one's physical intuition,
that only a certain finite dimensional subspace (usually of dimension three or
less) is important. The material in this book concerns a technique for
justifying this approximation in a broad class of fermionic models used in
condensed matter and high energy physics.

This volume is based on the Aisenstadt Lectures given by Joel Feldman at the
Centre de Recherches Mathématiques (Montréal, Canada). It is
suitable for graduate students and research mathematicians interested in
mathematical physics. Included are many problems and solutions.

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

#### Readership

Graduate students and researchers interested in mathematical physics.

#### Reviews & Endorsements

The text is written very clearly, carefully, and concisely. ... an excellent technical introduction for graduate students and researchers...

-- Zentralblatt MATH

The book … is a clear exposition of the basic techniques of the renormalization group applied to fermionic models, and it contains plenty of examples and problems (with the corresponding solutions), so that it can be considered a good introduction for everyone who wants to get acquainted with the field before tackling more technical papers.

-- Mathematical Reviews

#### Table of Contents

# Table of Contents

## Fermionic Functional Integrals and the Renormalization Group

- Cover Cover11
- Title page iii4
- Copyright iv5
- Contents v6
- Preface vii8
- Fermionic functional integrals 110
- Fermionic expansions 3140
- Appendix A. Infinite-dimensional Grassman algebras 5968
- Appendix B. Pfaffians 6776
- Appendix C. Propagator bounds 7382
- Appendix D. Problem solutions 7988
- Bibliography 115124
- Back Cover Back Cover1127