skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Annals of Physics (New York)
 [1];  [1]
  1. Instituto de Fisica, Universidade Federal Fluminense, Av. Litoranea S/N, Boa Viagem, Niteroi, CEP 24210-340, Rio de Janeiro (Brazil)

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.

OSTI ID:
20845948
Journal Information:
Annals of Physics (New York), Vol. 321, 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); ISSN 0003-4916
Country of Publication:
United States
Language:
English

Similar Records

Study of a two-dimensional model with axial-current-pseudoscalar derivative interaction
Journal Article · Sat Nov 01 00:00:00 EST 1975 · Ann. Phys. (N.Y.), v. 95, no. 1, pp. 202-226 · OSTI ID:20845948

Vector and axial anomaly in the Thirring-Wess model
Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Journal of Mathematical Physics · OSTI ID:20845948

Comment on ''Equivalence between the Thirring model and a derivative-coupling model''
Journal Article · Wed Jun 15 00:00:00 EDT 1988 · Phys. Rev. D; (United States) · OSTI ID:20845948