The Weakly Coupled Gross-Neveu Model with Wilson Fermions

Abstract

The nature of the phase transition in the lattice Gross-Neveu model with Wilson fermions is investigated using a new analytical technique. This involves a new type of weak coupling expansion which focuses on the partition function zeroes of the model. Its application to the single flavour Gross-Neveu model yields a phase diagram whose structure is consistent with that predicted from a saddle point approach. The existence of an Aoki phase is confirmed and its width in the weakly coupled region is determined. Parity, rather than chiral symmetry breaking naturally emerges as the driving mechanism for the phase transition.

15 pages including 1 figure

References in corpus (3)

• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Probing the Region of Massless Quarks in Quenched Lattice QCD using Wilson Fermions
• Two-dimensional Lattice Gross-Neveu Model with Wilson Fermion Action at Finite Temperature and Chemical Potential

Cited by in corpus (8)

• Localization in Lattice QCD
• Phase Transition Strength through Densities of General Distributions of Zeroes
• Fermion loop simulation of the lattice Gross-Neveu model
• Kondo effect with Wilson fermions
• Two--dimensional lattice Gross--Neveu model with Wilson twisted mass fermions
• Gross-Neveu model as a laboratory for fermion discretization
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
• Grassmann tensor networks