Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a mean field approximation for Higgs-Yukawa systems   We discuss the phase structure of a lattice Higgs-Yukawa system in the
variational mean field approximation with contributions of fermionic
determinant being calculated in a ladder approximation. In particular, we
demonstrate that in this approximation the ferrimagnetic phase in the $Z_2$
model with naive fermions can appear as an artifact of a finite lattice and
that the phase diagram for this model on infinite lattice changes qualitatively
at space-time dimension $D = 4$ compared with those at $D > 4$.

8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph