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Gauge invariant generalization of the 2D chiral Gross-Neveu model

W. Franzki·J. Jersák·R. Welters
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Abstract

By means of the Lee-Shrock transformation we generalize the 2D Gross-Neveu (GN$_2$) model to a U(1) gauge theory with charged fermion and scalar fields in 2D ($χU ϕ_2$ model). The $χU ϕ_2$ model is equivalent to the GN$_2$ model at infinite gauge coupling. We show that the dynamical fermion mass generation and asymptotic freedom in the effective four-fermion coupling persist also when the gauge coupling decreases. These phenomena are not influenced by the XY$_2$ model phase transition at weak coupling. This suggests that the $χU ϕ_2$ model is in the same universality class as the GN$_2$ model and thus renormalizable.

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W. Franzki, J. Jersák, R. Welters. 1995-09-18. Gauge invariant generalization of the 2D chiral Gross-Neveu model. https://doi.org/10.1016/0920-5632(96)00154-5

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