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Bosonization of Interacting Fermions in Arbitrary Dimensions

  • Book
  • © 1997

Overview

Authors:
  1. Peter Kopietz

    1. Institut für Theoretische Physik, Universität Göttingen, Göttingen, Germany

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 48)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  3. Applications to physical systems

    1. Front Matter

      Pages 119-119
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    2. Singular interactions (f q ∼ |q|−η)

      Pages 121-142

    3. Quasi-one-dimensional metals

      Pages 143-164

    4. Electron-phonon interactions

      Pages 165-180

    5. Fermions in a stochastic medium

      Pages 181-195

    6. Transverse gauge fields

      Pages 197-233

  4. Back Matter

    Pages 235-259
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Keywords

About this book

The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Göttingen, Göttingen, Germany

    Peter Kopietz

Bibliographic Information

  • Book Title: Bosonization of Interacting Fermions in Arbitrary Dimensions

  • Authors: Peter Kopietz

  • Series Title: Lecture Notes in Physics Monographs

  • DOI: https://doi.org/10.1007/978-3-540-68495-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-662-14169-4Published: 13 November 2013

  • eBook ISBN: 978-3-540-68495-4Published: 16 December 2008

  • Series ISSN: 0940-7677

  • Edition Number: 1

  • Number of Pages: XII, 259

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Mathematical Methods in Physics, Condensed Matter Physics

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