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Thirring Model in Lower Dimensions: Nonperturbative Approaches

Yoonbai Kim
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Abstract

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 $N_{cr}= 128/3π^{2}$.

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Yoonbai Kim. 1997-08-07. Thirring Model in Lower Dimensions: Nonperturbative Approaches. https://arxiv.org/abs/hep-th/9708038

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