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arXiv · 1603.00067

On bound-states of the Gross Neveu model with massive fundamental fermions

Yitzhak Frishman·Jacob Sonnenschein
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Abstract

In the search for QFT's that admit boundstates, we reinvestigate the two dimensional Gross-Neveu model, but with massive fermions. By computing the self-energy for the auxiliary boundstate field and the effective potential, we show that there are no bound states around the lowest minimum, but there is a meta-stable bound state around the other minimum, a local one. The latter decays by tunneling. We determine the dependence of its lifetime on the fermion mass and coupling constant.

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Yitzhak Frishman, Jacob Sonnenschein. 2016-02-29. On bound-states of the Gross Neveu model with massive fundamental fermions. https://arxiv.org/abs/1603.00067

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