Inhomogeneous chiral symmetry breaking in noncommutative four fermion interactions

Abstract

The generalization of the Gross-Neveu model for noncommutative 3+1 space-time has been analyzed. We find indications that the chiral symmetry breaking occurs for an inhomogeneous background as in the LOFF phase in condensed matter.

17 pages, 2 figures, published version, minor corrections

References in corpus (4)

• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Revised Phase Diagram of the Gross-Neveu Model
• Nonuniform symmetry breaking in noncommutative $\lambda {\Phi }^4$ theory
• Non--Commutative Field Theories beyond Perturbation Theory

Cited by in corpus (6)

• Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions
• Noncommutative Thermofield Dynamics
• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• Non-commutative dynamics and roton-like spectra in bosonic and fermionic condensates
• Inhomogeneous phase of a Gluon Plasma at finite temperature and density
• Renormalization Group Flow for Noncommutative Fermi Liquids