Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Monte Carlo simulation of intervortex potential in
  superconductors   We investigate the interaction potential of superconducting vortices at the
full quantum level. We formulate the interaction potential in a constrained
path integral and calculate it by the quantum Monte Carlo simulation. The
vortex-vortex potential is attractive (type-I), repulsive (type-II), and flat
(critical) depending on a coupling constant. The vortex-antivortex potential
also depends on the coupling constant at long range but is always attractive at
short range.

3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio