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Title: Two-dimensional thermofield bosonization

Abstract

The main objective of this paper was to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real-time formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The well-known two-dimensional Fermion-Boson correspondences at zero temperature are shown to hold also at finite temperature. To emphasize the usefulness of the operator realization for handling a large class of two-dimensional quantum field-theoretic problems, we contrast this global approach with the cumbersome calculation of the fermion-current two-point function in the imaginary-time formalism and real-time formalisms. The calculations also illustrate the very different ways in which the transmutation from Fermi-Dirac to Bose-Einstein statistics is realized.

Authors:
 [1];  [2];  [3]
  1. Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210-340 Rio de Janeiro (Brazil). E-mail: rubens@if.uff.br
  2. Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210-340 Rio de Janeiro (Brazil)
  3. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)
Publication Date:
OSTI Identifier:
20766972
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 320; Journal Issue: 2; Other Information: DOI: 10.1016/j.aop.2005.07.003; PII: S0003-4916(05)00132-6; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN STATISTICS; BOSON EXPANSION; FERMIONS; TRANSMUTATION; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Amaral, R.L.P.G., Belvedere, L.V., and Rothe, K.D. Two-dimensional thermofield bosonization. United States: N. p., 2005. Web. doi:10.1016/j.aop.2005.07.003.
Amaral, R.L.P.G., Belvedere, L.V., & Rothe, K.D. Two-dimensional thermofield bosonization. United States. doi:10.1016/j.aop.2005.07.003.
Amaral, R.L.P.G., Belvedere, L.V., and Rothe, K.D. Thu . "Two-dimensional thermofield bosonization". United States. doi:10.1016/j.aop.2005.07.003.
@article{osti_20766972,
title = {Two-dimensional thermofield bosonization},
author = {Amaral, R.L.P.G. and Belvedere, L.V. and Rothe, K.D.},
abstractNote = {The main objective of this paper was to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real-time formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The well-known two-dimensional Fermion-Boson correspondences at zero temperature are shown to hold also at finite temperature. To emphasize the usefulness of the operator realization for handling a large class of two-dimensional quantum field-theoretic problems, we contrast this global approach with the cumbersome calculation of the fermion-current two-point function in the imaginary-time formalism and real-time formalisms. The calculations also illustrate the very different ways in which the transmutation from Fermi-Dirac to Bose-Einstein statistics is realized.},
doi = {10.1016/j.aop.2005.07.003},
journal = {Annals of Physics (New York)},
number = 2,
volume = 320,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}