Thirring Model in Lower Dimensions: Nonperturbative Approaches

Yoonbai Kim

Thirring Model in Lower Dimensions: Nonperturbative Approaches

高能物理 - 理论 2007-05-23 v1

作者: Yoonbai Kim

摘要

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 $N_{cr}= 128/3\pi^{2}$ .

关键词

fermion field theory and gross-neveu model lattice gauge theory with chiral fermions fermionic models

引用

@article{arxiv.hep-th/9708038,
  title  = {Thirring Model in Lower Dimensions: Nonperturbative Approaches},
  author = {Yoonbai Kim},
  journal= {arXiv preprint arXiv:hep-th/9708038},
  year   = {2007}
}

备注

9 pages of LaTeX, Talk given at the International Workshop on Prespectives of Strong Coupling Gauge Theories(SCGT96), Nagoya, Japani, November 1996

Thirring Model in Lower Dimensions: Nonperturbative Approaches

摘要

关键词

引用

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