Theoretical condensed matter physics draws heavily and
increasingly on the language ofquantum field theory．This primer iS
aimed at elevating graduate students of condensed matter physics to
a level where they can engage in independent research．It emphasizes
thedevelopment of modem methods of classical and quantum field
theory with applicationsof interest in both experimental and
theoretical condensed matter physics．Topics covered1nclude second
quantization，path and functional field integration，mean—field
theory andcollective phenomena，the renormalization group，and
topology．Conceptual aspects andformal methodology are emphasized
and developed，but the discussion is rooted firmly inpractical
experimental application．As well as routine exercises．the text
includes extendedand challenging problems，with fully worked
solutions，designed to provide a bridgebetween formal manipulations
and research—oriented thinkin9．This book will
complementgraduate—level courses on theoretical quantum condensed
matter physics．
目錄：
Preface
1 From particles to fields
1.1 Classical harmonic chain：phonons
1.2 Functional analysis and variational
principles
1.3 Maxwell’S equations as a variational
principle
1.4 Quantum chain
1.5 Quantum electrodynamics
1.6 Noether’S theorem
1.7 Summary and outlook
1.8 Problems
2 Second quantization
2.1 Introduction to second quantization
2.2 Applications of second quantization
2.3 Summary and outlook
2.4 Problems
3 Feynman path integral
3.1 The path integral：general formalism
3.2 Construction of the path integral
3.3 Applications of the Feynman path integral
3.4 Summary and outlook
3.5 Problems
4 Functional field integral
4.1 Construction of the many—body path integral
4.2 Field integral for the quantum partition
function
4.3 Field theoretical bosonization：a case study
4.4 Summary and outlook
4.5 Problems
……
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