No Goldstone boson in NJL and Thirring models

Details No Goldstone boson in NJL and Thirring models No Goldstone boson in NJL and Thirring models

2003-06-12

arxiv.org/abs/hep-th/0306110v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 0 figure, Latex

Scientific paper

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.

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