### 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 language | English (US) |
---|---|

Pages (from-to) | 7884-7893 |

Number of pages | 10 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 54 |

Issue number | 12 |

State | Published - Dec 15 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*54*(12), 7884-7893.

**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.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 54, no. 12, pp. 7884-7893.

}

TY - JOUR

T1 - Gross-Neveu model and the supersymmetric and nonsupersymmetric Nambu-Jona-Lasinio model in a magnetic field

AU - Elias, V.

AU - McKeon, D. G C

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 1996/12/15

Y1 - 1996/12/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001718951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001718951&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001718951

VL - 54

SP - 7884

EP - 7893

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

ER -