Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results

Abstract

It is shown that the inhomogeneous chiral condensate in the Gross-Neveu (GN) model takes the chiral spiral form, even though the thermodynamic functional depends only on the chiral scalar density. It is the inhomogeneity of the chiral scalar condensate that drives the spatial modulations of the pseudoscalar one. The result has broader implications once we start to think of fundamental theories behind the effective models. In particular, some effective interactions---which may be omitted for descriptions of the homogeneous phases---can be dynamically enhanced due to the spatial modulations of the large mean fields. Implications for the four-dimensional counterparts of the GN model are discussed. In a quark matter context, proper forms of the effective models for the inhomogeneous phases are speculated, through considerations on the Fermi-Dirac sea coupling.

31 pages, 5 figures; v2 published in PRD

References in corpus (3)

• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass

Cited by in corpus (5)

• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter