Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String Representation of the Abelian Higgs Theory and Aharonov-Bohm
  Effect on the Lattice   The partition function of the $4D$ lattice Abelian Higgs theory is
represented as the sum over world sheets of Nielsen--Olesen strings. The
creation and annihilation operators of the strings are constructed. The
topological long--range interaction of the strings and charged particles is
shown to exist; it is proportional to the linking number of the string world
sheet and particle world trajectory.

35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph