Aoki phases in the lattice Gross-Neveu model with flavored mass terms

Journal Article · Sun May 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.094506· OSTI ID:21541626

Creutz, Michael; Kimura, Taro; Misumi, Tatsuhiro ^[1]

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1. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

We investigate the parity-broken phase structure for staggered and naive fermions in the Gross-Neveu model as a toy model of QCD. We consider a generalized staggered Gross-Neveu model including two types of four-point interactions. We use generalized mass terms to split the doublers for both staggered and naive fermions. The phase boundaries derived from the gap equations show that the mass splitting of tastes results in an Aoki phase both in the staggered and naive cases. We also discuss the continuum limit of these models and explore taking the chirally symmetric limit by fine-tuning a mass parameter and two-coupling constants. This supports the idea that in lattice QCD we can derive one- or two-flavor staggered fermions by tuning the mass parameter, which are likely to be less expensive than Wilson fermions in QCD simulation.

• OSTI ID: 21541626
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 9; Other Information: DOI: 10.1103/PhysRevD.83.094506; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
EQUATIONS
FERMIONS
FLAVOR MODEL
INTERACTIONS
LAGRANGIAN FIELD THEORY
MASS
PARITY
QUANTUM CHROMODYNAMICS
SIMULATION
SYMMETRY
COMPOSITE MODELS
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL