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28 March 2024
 
  » arxiv » hep-th/9406154

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Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms
J. Froehlich ; R. Goetschmann ; P.A. Marchetti ;
Date 27 Jun 1994
Journal J.Phys. A28 (1995) 1169-1204
AbstractWe present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current density in terms of a bosonic antisymmetric tensorfield of a rank d--1, where d is the dimension of space. This enables us to make concepts and tools from gauge theory available for the purpose of analyzing electronic structure of non-relativistic matter. We apply our bosonization identities and concepts from gauge theory, such as Wegner -’t Hooft duality, to a variety of systems of condensed matter physics: Landau-Fermi liquids, Hall fluids, London superconductors, etc.. Among our results are an exact formula for the plasmon gap in a metal, a simple derivation of the Anderson-Higgs mechanism in superconductors, and an analysis of the orthogonality catastrophe for static sources.
Source arXiv, hep-th/9406154
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