Condensed Matter Field Theory

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Cambridge University Press, Jun 1, 2006 - Science - 624 pages
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Over the past few decades, in concert with ground-breaking experimental advances, condensed matter theory has drawn increasingly from the language of low-energy quantum field theory. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. It emphasizes the development of modern methods of classical and quantum field theory with applications oriented around condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked solutions, designed to provide a bridge between formal manipulations and research-oriented thinking. This book will complement graduate level courses on theoretical quantum condensed matter physics.
  

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Contents

Preface page vii
3
Second quantization
39
Feynman path integral
94
Functional field integral
157
Perturbation theory
195
Broken symmetry and collective phenomena
246
Response functions
370
The renormalization group
419
Topology
511
Index
621
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About the author (2006)

Ben Simons is a professor at the Cavendish Laboratory, University of Cambridge.

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