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, Igor Shovkovy

Research output: Contribution to journalArticle

22 Citations (Scopus)

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
StatePublished - Dec 15 1996
Externally publishedYes

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Gross
Magnetic Field
magnetic fields
Weak Coupling
Model
Cosmological Models
Strong Coupling
Perpendicular
Continuum
Infrared
infinity
Infinity
Model-based
continuums

ASJC Scopus subject areas

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

Cite this

Gross-Neveu model and the supersymmetric and nonsupersymmetric Nambu-Jona-Lasinio model in a magnetic field. / Elias, V.; McKeon, D. G C; Miransky, V. A.; Shovkovy, Igor.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 54, No. 12, 15.12.1996, p. 7884-7893.

Research output: Contribution to journalArticle

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