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Condensed Matter Field Theory

ISBN-10: 0521845084

ISBN-13: 9780521845083

Edition: 2006

Authors: Alexander Altland, Ben Simons

List price: $105.00
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Description:

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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Book details

List price: $105.00
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 6/1/2006
Binding: Hardcover
Pages: 636
Size: 7.00" wide x 9.75" long x 1.25" tall
Weight: 3.080
Language: English

Alexander Altland is Professor of Theoretical Condensed Matter Physics at the Institute of Theoretical Physics, University of K�ln. His main areas of research include mesoscopic physics, the physics of interacting many-particle systems, and quantum nonlinear dynamics.

Preface
From particles to fields
Classical harmonic chain: phonons
Functional analysis and variational principles
Maxwell's equations as a variational principle
Quantum chain
Quantum electrodynamics
Noether's theorem
Summary and outlook
Problems
Second quantization
Introduction to second quantization
Applications of second quantization
Summary and outlook
Problems
Feynman path integral
The path integral: general formalism
Construction of the path integral
Applications of the Feynman path integral
Summary and outlook
Problems
Functional field integral
Construction of the many-body path integral
Field integral for the quantum partition function
Field theoretical bosonization: a case study
Summary and outlook
Problems
Perturbation theory
General structures and low-order expansions
Ground state energy of the interacting electron gas
Infinite-order expansions
Summary and outlook
Problems
Broken symmetry and collective phenomena
Mean-field theory
Plasma theory of the interacting electron gas
Bose-Einstein condensation and superfluidity
Superconductivity
Field theory of the disordered electron gas
Summary and outlook
Problems
Response functions
Crash course in modern experimental techniques
Linear response theory
Analytic structure of correlation functions
Electromagnetic linear response
Summary and outlook
Problems
The renormalization group
The one-dimensional Ising model
Dissipative quantum tunneling
Renormalization group: general theory
RG analysis of the ferromagnetic transition
RG analysis of the nonlinear [sigma]-model
Berezinskii-Kosterlitz-Thouless transition
Summary and outlook
Problems
Topology
Example: particle on a ring
Homotopy
[theta]-Terms
Wess-Zumino terms
Chern-Simons terms
Summary and outlook
Problems
Index