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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.76.085009

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.

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