Gross-Neveu model and the supersymmetric and nonsupersymmetric Nambu—Jona-Lasinio model in a magnetic field

V. Elias, D. G.C. McKeon, V. A. Miransky, I. A. Shovkovy

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

The infrared dynamics in the (3+1)-dimensional supersymmetric and nonsupersymmetric Nambu—Jona-Lasinio model in a constant magnetic field is studied. While at strong coupling the dynamics in these two models is essentially different, it is shown that the models become equivalent at weak coupling. In particular, at weak coupling, as the strength of the magnetic field goes to infinity, both the supersymmetric and nonsupersymmetric Nambu—Jona-Lasinio models are reduced to a continuum set of independent (1+1)-dimensional Gross-Neveu models, labeled by the coordinates in the plane perpendicular to the magnetic field. The relevance of these results for cosmological models based on supersymmetric dynamics is pointed out.

Original languageEnglish (US)
Pages (from-to)7884-7893
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume54
Issue number12
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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