Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model

Abstract

Chiral symmetry of the 2-dimensional chiral Gross-Neveu model is broken explicitly by a bare mass term as well as a splitting of scalar and pseudo-scalar coupling constants. The vacuum and light hadrons - mesons and baryons which become massless in the chiral limit - are explored analytically in leading order of the derivative expansion by means of a double sine-Gordon equation. Depending on the parameters, this model features new phenomena as compared to previously investigated 4-fermion models: spontaneous breaking of parity, a non-trivial chiral vacuum angle, twisted kink-like baryons whose baryon number reflects the vacuum angle, crystals with alternating baryons, and appearance of a false vacuum.

8 pages, 7 figures; v2: typos corrected

References in corpus (3)

• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Divergence of the axial current and fermion density in Gross-Neveu models
• Large N solution of generalized Gross-Neveu model with two coupling constants

Cited by in corpus (3)

• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• A (1+1) dimensional example of Quarkyonic matter
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit