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Fermionic Functional Integrals and the Renormalization Group
Joel S. FeldmanHorst KnörrerEugene Trubowitz
出版American Mathematical Soc., 2002
主題Mathematics / AppliedScience / Physics / Mathematical & Computational
ISBN08218287899780821828786
URLhttp://books.google.com.hk/books?id=Kr8jDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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 physicalintuition, 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 theAisenstadt 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.