Divergence of the axial current and fermion density in Gross-Neveu models

Abstract

The divergence of the axial current is used to relate the spatial derivative of the fermion density to the bare fermion mass and scalar/pseudoscalar condensates in 1+1 dimensional Gross-Neveu models. This serves as a novel test of known results, to explain simple features of the continuous chiral model and to resolve a conflict concerning the assignment of baryon number to certain multi-fermion bound states.

arXiv comment7 pages, no figure; v2: minor changes, reference added

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• Kink dynamics, sinh-Gordon solitons and strings in AdS(3) from the Gross-Neveu model
• Exact solution of N baryon problem in the Gross-Neveu model
• Large N solution of generalized Gross-Neveu model with two coupling constants
• Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
• Covariant boost and structure functions of baryons in Gross-Neveu models
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass
• Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model
• Fermion number of twisted kinks in the NJL${}_2$ model, revisited
• Exploring new states of matter with a photonic emulator
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation