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A Guide to Feynman Diagrams in the ManyBody Problem: Second Edition (Dover Books on Physics)
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A great delight to read. Physics TodayAmong the most fertile areas of modern physics, manybody theory has produced a wealth of fundamental results in all areas of the discipline. Unfortunately the subject is notoriously difficult and, until the publication of this book, most treatments of the topic were inaccessible to the average experimenter or nonspecialist theoretician.The present work, by contrast, is well within the grasp of the nonexpert. It is intended primarily as a selfstudy book that introduces one aspect of manybody theory, i.e. the method of Feynman diagrams. The book also lends itself to use as a reference in courses on solid state and nuclear physics which make some use of the manybody techniques. And, finally, it can be used as a supplementary reference in a manybody course.Chapters 1 through 6 provide an introduction to the major concepts of the field, among them Feynman diagrams, quasiparticles and vacuum amplitudes. Chapters 7 through 16 give basic coverage to topics ranging from Dysons equation and the ladder approximation to Fermi systems at finite temperature and superconductivity. Appendixes summarize the Dirac formalism and include a rigorous derivation of the rules for diagrams. Problems are provided at the end of each chapter and solutions are given at the back of the book.For this second edition, Dr. Mattuck, formerly of the H. C. Orsted Institute and the University of Copenhagen, added to many chapters a new section showing in mathematical detail how typical manybody calculations with Feynman diagrams are carried out. In addition, new exercises were included, some of which gave the reader the opportunity to carry out simpler manybody calculations himself. new chapter on the quantum field theory of phase transitions rounds out this unusually clear, helpful and informative guide to the physics of the manybody problem.
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