Condensed Matter Field Theory

Name: Condensed Matter Field Theory
Availability: OutOfStock
ISBN: 9780521845083

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…

Book details

List price: $105.00
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 6/1/2006
Binding: Hardcover
Pages: 636
Size: 7.09" wide x 10.00" long x 1.34" tall
Weight: 3.102

Alexander Altland is Professor of Theoretical Condensed Matter Physics at the Institute of Theoretical Physics, University of Kï¿½ln. 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