Non-abelian gauged NJL models on the lattice

Abstract

We use Monte Carlo simulation to probe the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional four fermion term. Pairs of physical flavors are implemented using the two tastes present in a reduced staggered fermion formulation of the theory. The resultant lattice theory is invariant under a set of shift symmetries which correspond to a discrete subgroup of the continuum chiral-flavor symmetry. The pseudoreal character of the representation guarantees that the theory has no sign problem. For the case of $N_f=4$ we observe a crossover in the behavior of the chiral condensate for strong four fermi coupling associated with the generation of a dynamical mass for the fermions. At weak gauge coupling this crossover is consistent with the usual continuous phase transition seen in the pure (ungauged) NJL model. However, if the gauge coupling is strong enough to cause confinement we observe a much more rapid crossover in the chiral condensate consistent with a first order phase transition

8 pages, 7 figures. Substantial revision with new numerical results and significant changes to text

References in corpus (3)

• Exact lattice supersymmetry
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD

Cited by in corpus (7)

• Quantum critical behavior in three dimensional lattice Gross-Neveu models
• A Holographic Study of the Gauged NJL Model
• Ideal Walking Dynamics via a Gauged NJL Model
• Dynamical Gauge Symmetry Breaking in Strongly Coupled Lattice Theories
• Four Fermion Interactions in Non-Abelian Gauge Theory
• Nambu-Jona-Lasinio model with Wilson fermions
• Dynamical Origin of the Electroweak Scale and the 125 GeV Scalar