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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 Integ

Author

Tsvelik, Alexei M.

Publisher

Cambridge University Press (Virtual Publishing)

Published

2003

Language

EN

ISBN

9780521822848