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Product Code:  CRMM/16 
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eBook ISBN:  9781470438616 
Product Code:  CRMM/16.E 
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Hardcover ISBN:  9780821828786 
eBook: ISBN:  9781470438616 
Product Code:  CRMM/16.B 
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Hardcover ISBN:  9780821828786 
Product Code:  CRMM/16 
List Price:  $115.00 
MAA Member Price:  $103.50 
AMS Member Price:  $92.00 
eBook ISBN:  9781470438616 
Product Code:  CRMM/16.E 
List Price:  $110.00 
MAA Member Price:  $99.00 
AMS Member Price:  $88.00 
Hardcover ISBN:  9780821828786 
eBook ISBN:  9781470438616 
Product Code:  CRMM/16.B 
List Price:  $225.00 $170.00 
MAA Member Price:  $202.50 $153.00 
AMS Member Price:  $180.00 $136.00 

Book DetailsCRM Monograph SeriesVolume: 16; 2002; 115 ppMSC: Primary 82
This book, written by wellknown 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 copublished with the Centre de recherches mathématiques.
ReadershipGraduate students and researchers interested in mathematical physics.

Table of Contents

Chapters

Fermionic functional integrals

Fermionic expansions

Appendix A. Infinitedimensional Grassman algebras

Appendix B. Pfaffians

Appendix C. Propagator bounds

Appendix D. Problem solutions


Reviews

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


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This book, written by wellknown 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 copublished with the Centre de recherches mathématiques.
Graduate students and researchers interested in mathematical physics.

Chapters

Fermionic functional integrals

Fermionic expansions

Appendix A. Infinitedimensional Grassman algebras

Appendix B. Pfaffians

Appendix C. Propagator bounds

Appendix D. Problem solutions

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