Twodimensional 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, nonzero temperature T. This is achieved in the framework of the realtime formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The wellknown twodimensional FermionBoson 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 twodimensional quantum fieldtheoretic problems, we contrast this global approach with the cumbersome calculation of the fermioncurrent twopoint function in the imaginarytime formalism and realtime formalisms. The calculations also illustrate the very different ways in which the transmutation from FermiDirac to BoseEinstein statistics is realized.
 Authors:
 Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210340 Rio de Janeiro (Brazil). Email: rubens@if.uff.br
 Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP, 24210340 Rio de Janeiro (Brazil)
 Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D69120 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: S00034916(05)001326; 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; BOSEEINSTEIN STATISTICS; BOSON EXPANSION; FERMIONS; TRANSMUTATION; TWODIMENSIONAL CALCULATIONS
Citation Formats
Amaral, R.L.P.G., Belvedere, L.V., and Rothe, K.D. Twodimensional 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. Twodimensional 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 .
"Twodimensional thermofield bosonization". United States.
doi:10.1016/j.aop.2005.07.003.
@article{osti_20766972,
title = {Twodimensional 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, nonzero temperature T. This is achieved in the framework of the realtime formalism of Thermofield Dynamics. Formally, the results parallel those of the T = 0 case. The wellknown twodimensional FermionBoson 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 twodimensional quantum fieldtheoretic problems, we contrast this global approach with the cumbersome calculation of the fermioncurrent twopoint function in the imaginarytime formalism and realtime formalisms. The calculations also illustrate the very different ways in which the transmutation from FermiDirac to BoseEinstein 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}
}

We consider the perturbative computation of the Npoint function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the Npoint functions are computed in the fermionic formulation and compared with the corresponding perturbative series in the interaction parameter in the bosonized thermofield formulation. Thereby we establish in thermofield dynamics the formal equivalence of the massive free fermion theory with the sineGordon thermofield model for a particular value of the sineGordon parameter. We extend the thermofield bosonization to include the massive Thirring model.

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