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Title: The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model

Abstract

We reexamine the two-dimensional model of massive fermions interacting with a massless pseudoscalar field via axial-current derivative coupling. The hidden Thirring interaction in the axial-derivative coupling model is exhibited compactly by performing a canonical field transformation on the Bose field algebra and the model is mapped into the Thirring model with an additional vector-current-scalar derivative interaction (Schroer-Thirring model). The Fermi field operator is rewritten in terms of the Mandelstam soliton operator coupled to a free massless scalar field. The charge sectors of the axial-derivative model are mapped into the charge sectors of the massive Thirring model. The complete bosonized version of the model is presented. The bosonized composite operators of the quantum Hamiltonian are obtained as the leading operators in the Wilson short distance expansions.

Authors:
 [1];  [1]
  1. Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP 24210-340, Rio de Janeiro (Brazil)
Publication Date:
OSTI Identifier:
20845948
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 321; Journal Issue: 12; Other Information: DOI: 10.1016/j.aop.2006.05.008; PII: S0003-4916(06)00120-5; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMIONS; FIELD ALGEBRA; FIELD OPERATORS; HAMILTONIANS; QUANTUM FIELD THEORY; SCALAR FIELDS; SOLITONS; THIRRING MODEL; TRANSFORMATIONS; TWO-DIMENSIONAL CALCULATIONS; VECTOR CURRENTS

Citation Formats

Belvedere, L V, and Rodrigues, A F. The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model. United States: N. p., 2006. Web. doi:10.1016/j.aop.2006.05.008.
Belvedere, L V, & Rodrigues, A F. The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model. United States. doi:10.1016/j.aop.2006.05.008.
Belvedere, L V, and Rodrigues, A F. Fri . "The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model". United States. doi:10.1016/j.aop.2006.05.008.
@article{osti_20845948,
title = {The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model},
author = {Belvedere, L V and Rodrigues, A F},
abstractNote = {We reexamine the two-dimensional model of massive fermions interacting with a massless pseudoscalar field via axial-current derivative coupling. The hidden Thirring interaction in the axial-derivative coupling model is exhibited compactly by performing a canonical field transformation on the Bose field algebra and the model is mapped into the Thirring model with an additional vector-current-scalar derivative interaction (Schroer-Thirring model). The Fermi field operator is rewritten in terms of the Mandelstam soliton operator coupled to a free massless scalar field. The charge sectors of the axial-derivative model are mapped into the charge sectors of the massive Thirring model. The complete bosonized version of the model is presented. The bosonized composite operators of the quantum Hamiltonian are obtained as the leading operators in the Wilson short distance expansions.},
doi = {10.1016/j.aop.2006.05.008},
journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 12,
volume = 321,
place = {United States},
year = {2006},
month = {12}
}