2014/06/30 by Toru Kojo
Mathematics · Physics and Astronomy · #Chiral anomaly #Chiral symmetry #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Context (archaeology) #Fermion #Geometry #Gross–Neveu model #High-Energy Particle Collisions Research #Mathematics #Nambu–Jona-Lasinio model #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scalar (mathematics) #Symmetry breaking #Theoretical physics #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.90.065030
published as Phys. Rev. D 90, 065030 (2014) · 31 pages, 5 figures; v2 published in PRD
arxiv created 2014/09/17 · openalex publication_date 2014/09/22 · arxiv updated 2014/10/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.