Kinks and bound states in the Gross-Neveu model

Research output: Contribution to journalArticlepeer-review


We investigate static space-dependent σ(x)=ψ̄ψ saddle point configurations in the two-dimensional Gross-Neveu model in the large N limit. We solve the saddle point condition for σ(x) explicitly by employing supersymmetric quantum mechanics and using simple properties of the diagonal resolvent of one-dimensional Schrödinger operators rather than inverse scattering techniques. The resulting solutions in the sector of unbroken supersymmetry are the Callan-Coleman-Gross-Zee kink configurations. We thus provide a direct and clean construction of these kinks. In the sector of broken supersymmetry we derive the DHN saddle point configurations. Our method of finding such nontrivial static configurations may be applied also in other two-dimensional field theories.

Original languageEnglish
Pages (from-to)4503-4511
Number of pages9
JournalPhysical review D
Issue number8
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Kinks and bound states in the Gross-Neveu model'. Together they form a unique fingerprint.

Cite this