Thirring Model in Lower Dimensions: Nonperturbative Approaches

Details Thirring Model in Lower Dimensions: Nonperturbative Approaches Thirring Model in Lower Dimensions: Nonperturbative Approaches

1997-08-07

arxiv.org/abs/hep-th/9708038v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages of LaTeX, Talk given at the International Workshop on Prespectives of Strong Coupling Gauge Theories(SCGT96), Nagoya,

Scientific paper

A reformulation of the Thirring model as a gauge theory on both continuum spacetime and discretized lattice is reviewed. In (1+1) dimensions, our result reproduces consistently the bosonization of the massless Thirring model. In (2+1) dimensions, the analysis by use of Schwinger-Dyson equation is shown to exhibit dynamical fermion mass generation when the number $N$ of four-component fermions is less than the critical value $N_{cr}= 128/3\pi^{2}$.

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