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

2007/06/30 by Felix Karbstein, Michael Thies · 17 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Divergence (linguistics) #Fermion #Geometry #Gross–Neveu model #Mathematics #Meson #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Scalar (mathematics) #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.76.085009

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 76(8) (American Physical Society) · 7 pages, no figure; v2: minor changes, reference added

arxiv created 2007/08/27 · openalex publication_date 2007/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 useful 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 multifermion bound states.

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