Quantum Field Theory in Condensed Matter Physics

This book covers a broad range of important topics and recent developments in this field. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This pave

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H. Grosse

E. H. Lieb

Springer-Verlag Berlin Heidelberg GmbH

Texts and Monographs in Physics Series Editors: R. Balian W. Beiglbock N. Reshetikhin H. Spohn W. Thirring From Microphysics to Macrophysics I + II Methods and Applications of Statistical Physics By R. Balian Variational Methods in Mathematical Physics A Unified Approach By P. Blanchard and E. Briining Multi-Hamiltonian Theory of Dynamical Systems By M. Blaszak Quantum Mechanics: Foundations and Applications 3rd enlarged edition By A. Bohm The Early Universe Facts and Fiction 3rd corrected and enlarged edition By G. Borner Operator Algebras and Quantum Statistical Mechanics I + II 2nd edition By 0. Bratteli and D. W. Robinson Statistical Methods in Quantum Optics 1. Master Equations and Fokker-Planck Equations By H. J. Carmichael Geometry of the Standard Model of Elementary Particles By. A. Derdzinski Scattering Theory of Classical and Quantum N-Particle Systems By. J. Derezinski and C. Gerard Effective Lagrangians for the Standard Model By A. Dobado, A. Gomez-Nicola, A. L. Maroto and J. R. Pelaez Quantum The Quantum Theory of Particles, Fields, and Cosmology By E. Elbaz Quantum Relativity A Synthesis of the Ideas of Einstein and Heisenberg By D. R. Finkelstein Quantum Mechanics I + II By A. Galindo and P. Pascual The Elements of Mechanics By G. Gallavotti Local Quantum Physics Fields, Particles, Algebras 2nd revised and enlarged edition ByR. Haag

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Naoto Nagaosa

Quantum Field Theory in Condensed Matter Physics Translated by Stefan Heusler With 33 Figures

Springer

Professor N aoto N agaosa Department of Applied Physics The University of Tokyo Bunkyo-ku, Tokyo 113, Japan

Translator: Stefan Heusler Bothestrasse 106 D-69126 Heide1berg, Germany

Editors Roger Balian

Nicolai Reshetikhin

CEA Service de Physique Theorique de Saclay F-91

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