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

Yitzhak Frishman, Jacob Sonnenschein

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number8
JournalJournal of High Energy Physics
Volume2018
Issue number1
DOIs
StatePublished - 1 Jan 2018

Keywords

  • 1/N Expansion
  • Field Theories in Lower Dimensions
  • Nonperturbative Effects

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