Fermionic functional integrals and the renormalization group
著者
書誌事項
Fermionic functional integrals and the renormalization group
（CRM monograph series, v. 16）
American Mathematical Society, c2002
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注記
"Centre de recherches mathématiques Université de Montréal"
Includes bibliographical references (P. 115)
LCCN:2002018586
内容説明・目次
内容説明
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 Mathematiques (Montreal, Canada). It is suitable for graduate students and research mathematicians interested in mathematical physics. Included are many problems and solutions.
目次
Fermionic functional integrals Fermionic expansions Appendix A. Infinite-dimensional Grassman algebras Appendix B. Pfaffians Appendix C. Propagator bounds Appendix D. Problem solutions Bibliography.
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