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

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.05.008· OSTI ID:20845948

Belvedere, L V ^[1]; Rodrigues, A F ^[1]

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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), Journal Name: Annals of Physics (New York) Journal Issue: 12 Vol. 321; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

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