The Thirring-Wess Model Revisited: A Functional Integral Approach

Details The Thirring-Wess Model Revisited: A Functional Integral Approach The Thirring-Wess Model Revisited: A Functional Integral Approach

2004-12-10

arxiv.org/abs/hep-th/0412107v1

Annals Phys. 317 (2005) 423-443

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; to appear in Ann. Phys

Scientific paper

10.1016/j.aop.2004.12.003

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-noninvariant 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 QED2 (QCD2) 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.

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