Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin

Abstract

The two-dimensional, massless Gross-Neveu model with Nc colors and SU(2) isospin is studied analytically in the large Nc limit. The chiral SU(2)L X SU(2)R symmetry is broken spontaneously in the vacuum. Twisted kinks connecting two arbitrary points on the vacuum manifold S3 are constructed, and their properties are explored. The phase diagram as a function of temperature, baryon- and isospin chemical potential is discussed, with special emphasis on inhomogeneous phases. The preferred form of the condensate is a product of the real kink crystal and the chiral spiral. Kink-kink scattering is solved, using the general solution of the multicomponent Bogoliubov-de Gennes equation recently presented by Takahashi.

16 pages, no figure; v2: 2 figures, 2 references and short discussion added in sect. V, typos corrected, 17 pages

References in corpus (6)

• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Divergence of the axial current and fermion density in Gross-Neveu models
• Inhomogeneous chiral symmetry breaking phases in isospin-asymmetric matter

Cited by in corpus (7)

• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Gross-Neveu model with O(2)${}_L\times$O(2)${}_R$ chiral symmetry: Duality with Zakharov-Mikhailov model and large $N$ solution
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• Tsunami Solitons Emerging from Superconducting Gap
• Axial anomaly and nesting in the inhomogeneous chiral phase
• SU(N) affine Toda solitons and breathers from transparent Dirac potentials