Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Levy Differential Operators and Gauge Invariant Equations for Dirac and
  Higgs Fields   We study the Levy infinite-dimensional differential operators (differential
operators defined by the analogy with the Levy Laplacian) and their
relationship to the Yang-Mills equations. We consider the parallel transport on
the space of curves as an infinite-dimensional analogue of chiral fields and
show that it is a solution to the system of differential equations if and only
if the associated curvature is a solution to the Yang-Mills equations. This
system is an analogue of the equation of motion of chiral fields and contains
the Levy divergence. The systems of infinite-dimensional equations containing
Levy differential operators, that are equivalent to the Yang-Mills-Higgs
equations and the Yang-Mills-Dirac equations (the equations of quantum
chromodinamics), are obtained. The equivalence of two ways to define the Levy
differential operators is shown.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph