Title: Quantum field theory in condensed matter physics /
Authors: Tsvelik, Alexei M.
Publisher: Cambridge University Press,
Year: 2003
Subjects: Quantum field theory.; Condensed matter.
Contents: Introduction to Methods -- QFT: language and goals -- Connection between quantum and classical: path integrals -- Definitions of correlation functions: Wick's theorem -- Free bosonic field in an external field -- Perturbation theory: Feynman diagrams -- Calculation methods for diagram series: divergences and their elimination -- Renormalization group procedures -- O(N)-symmetric vector model below the transition point -- Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion -- O(3)-nonlinear sigma model in the strong coupling limit -- Fermions -- Path integral and Wick's theorem for fermions -- Interaction electrons: the concept of a Fermi liquid -- Electrodynamics in metals -- Relativistic fermions: aspects of quantum electrodynamics -- Aharonov-Bohm effect and transmutation of statistics -- Strongly Fluctuating Spin Systems -- Schwinger-Wigner quantization procedure: nonlinear sigma models -- O(3)-nonlinear sigma model in (2+1) dimensions: the phase diagram -- Order from disorder --