Корично изображение Електронна книга

Quantum field theory in condensed matter physics /

This book is a course in modern quantum field theory for condensed matter physics. The book is intended for graduate students, postdoctoral associates and independent researchers working condensed matter physics.

Основен автор: Tsvelik, Alexei M.
Формат: Електронна книга
Език: English
Публикувано: Cambridge ; New York : Cambridge University Press, 2003.
Издание: 2nd ed.
Предмети:
Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125129
Подобни документи: Print version:: Quantum field theory in condensed matter physics.
Съдържание:
  • 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.
  • Jordan-Wigner transformations for spin S=1/2 models in D=1, 2, 3
  • Majorana representations for spin S=1/2 magnets: relationship to Z2 lattice gauge theories
  • Path integral representations for a doped antiferromagnet
  • Physics in the World of One Spatial Dimension
  • Model of the free bosonic massless scalar field
  • Relevant and irrelevant fields
  • Kosterlitz-Thouless transition
  • Conformal symmetry
  • Virasoro algebra
  • Differential equations for the correlation functions
  • Ising model
  • One-dimensional spinless fermions: Tomonaga-Luttinger liquid
  • One-dimensional fermions with spin: spin-charge separation
  • Kac-Moody algebras: Wess-Zumino-Novikov-Witten model
  • Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization
  • Semiclassical approach to WZNW models
  • Integrable models: dynamical mass generation
  • A comparative study of dynamical mass generation in one and three dimensions
  • One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain
  • Kondo chain
  • Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics.