The Gross-Neveu Model and the Supersymmetric and Non-Supersymmetric Nambu-Jona-Lasinio Model in a Magnetic Field
arXiv:hep-th/9605027 · doi:10.1103/PhysRevD.54.7884
Abstract
The infrared dynamics in the (3+1)-dimensional supersymmetric and non-supersymmetric 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 non-supersymmetric 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.
ReVTeX file, 14 pages including 1 figure. The final version that was published in Phys.Rev
References in corpus (6)
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- Supernatural Inflation: Inflation from Supersymmetry with No (Very) Small Parameters
- Magnetic Fields Produced by Phase Transition Bubbles in the Electroweak Phase Transition
- Modular Cosmology
- Chiral Symmetry Breaking by a Magnetic Field in Weak-coupling QED
- RG analysis of magnetic catalysis in Dynamical symmetry breaking
Cited by in corpus (15)
- Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
- Magnetic Catalysis: A Review
- Phase transition induced by a magnetic field
- Universality and the magnetic catalysis of chiral symmetry breaking
- Chiral Symmetry Breaking in QED in a Magnetic Field at Finite Temperature
- Heavy meson spectroscopy under strong magnetic field
- Thermodynamic Gross-Neveu model under constant electromagnetic field
- Relativistic field theories in a magnetic background as noncommutative field theories
- Dynamical Chiral Symmetry Breaking and Superconductivity in the Supersymmetric NambuJona-Lasinio Model at finite Temperature and Density
- Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
- Yukawa Coupling Contribution to Magnetic Field Induced Dynamical Mass
- Curvature-induced phase transitions in the inflationary universe - Supersymmetric Nambu-Jona-Lasinio Model in de Sitter spacetime -
- The effective potential of composite fields in weakly coupled QED in a uniform external magnetic field
- Thermal Restoration of Chiral Symmetry in Supersymmetric Nambu-Jona-Lasinio Model with Soft SUSY Breaking
- A Model of Curvature-Induced Phase Transitions in Inflationary Universe