Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge invariant generalization of the 2D chiral Gross-Neveu model   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.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc