The Thirring-Wess model revisited: a functional integral approach

Journal Article · Wed Jun 01 00:00:00 EDT 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2004.12.003· OSTI ID:20690164

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 consider the Wess-Zumino-Witten theory to obtain the functional integral bosonization of the Thirring-Wess model with an arbitrary regularization parameter. Proceeding a systematic of decomposing the Bose field algebra into gauge-invariant- and gauge-non-invariant field subalgebras, we obtain the local decoupled quantum action. The generalized operator solutions for the equations of motion are reconstructed from the functional integral formalism. The isomorphism between the QED {sub 2} (QCD {sub 2}) with broken gauge symmetry by a regularization prescription and the Abelian (non-Abelian) Thirring-Wess model with a fixed bare mass for the meson field is established.

• OSTI ID: 20690164
• Journal Information: Annals of Physics (New York), Vol. 317, Issue 2; Other Information: DOI: 10.1016/j.aop.2004.12.003; PII: S0003-4916(04)00226-X; Copyright (c) 2004 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

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
EQUATIONS OF MOTION
FIELD ALGEBRA
GAUGE INVARIANCE
INTEGRALS
MASS
MATHEMATICAL SOLUTIONS
MESONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
SYMMETRY BREAKING