English

No Goldstone boson in NJL and Thirring models

High Energy Physics - Theory 2007-05-23 v1

Abstract

We present an intuitive picture of the chiral symmetry breaking in the NJL and Thirring models. For the current current interaction model with the massless fermion, the vacuum is realized with the chiral symmetry broken phase, and the fermion acquires the induced mass. With this finite fermion mass, we calculate the boson mass, and find that the boson is always massive, and there exists no Goldstone boson in the Nambu-Jona-Lasinio (NJL) model.

Keywords

Cite

@article{arxiv.hep-th/0306110,
  title  = {No Goldstone boson in NJL and Thirring models},
  author = {Takehisa Fujita and Makoto Hiramoto and Hidenori Takahashi},
  journal= {arXiv preprint arXiv:hep-th/0306110},
  year   = {2007}
}

Comments

9 pages, 0 figure, Latex