Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Realization of Gauge Theory on Discrete Group $Z_2$   We construct a $2\times 2$ matrix algebra as representation of functions on
discrete group $Z_2$ and develop the gauge theory on discrete group proposed by
Starz in the matrix algebra. Accordingly, we show that the non-commutative
geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results
from this approach directly.
  For the purpose of Physical model building, we introduce a free fermion
  Lagrangian on $M_4\times Z_2$ and study Yang-Mills like gauge theory.

18
The categories of this paper are: econ
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio