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

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

1995-09-14

arxiv.org/abs/hep-lat/9509042v2

Nucl.Phys.Proc.Suppl. 47 (1996) 699-702

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to Lattice 95, LaTeX file (4 pages), 4 ps-figures appended (uuencoded), abstract corrected

Scientific paper

10.1016/0920-5632(96)00154-5

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 ($\chi U \phi_2$ model). The $\chi U \phi_2$ 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 $\chi U \phi_2$ model is in the same universality class as the GN$_2$ model and thus renormalizable.

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