Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transition and critical behavior of d=3 chiral fermion models with
  left/right asymmetry   We investigate the critical behavior of three-dimensional relativistic
fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the
Higgs-Yukawa sector of the standard model of particle physics. We classify all
possible four-fermion interaction terms and the corresponding discrete
symmetries. For sufficiently strong correlations in a scalar parity-conserving
channel, the system can undergo a second-order phase transition to a
chiral-symmetry broken phase which is a 3d analog of the electroweak phase
transition. We determine the critical behavior of this phase transition in
terms of the critical exponent $\nu$ and the fermion and scalar anomalous
dimensions for N_L >= 1. Our models define new universality classes that can
serve as prototypes for studies of strongly correlated chiral fermions.

34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con