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.

7 pages, no figure; v2: minor changes, reference added

References in corpus (1)

• Tricritical behavior of the massive chiral Gross-Neveu model

Cited by in corpus (8)

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• Exact solution of N baryon problem in the Gross-Neveu model
• Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
• Untwisting twisted NJL${}_2$-kinks by a bare fermion mass
• 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