Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path integral action and exact renormalization group dualities for
  quantum systems in noncommutative plane   We employ the path integral approach developed in [29] to discuss the
(generalized) harmonic oscillator in a noncommutative plane. The action for
this system is derived in the coherent state basis with additional degrees of
freedom. From this the action in the coherent state basis without any
additional degrees of freedom is obtained. This gives the ground state spectrum
of the system. We then employ the exact renormalization group approach to show
that an equivalence can be constructed between this (noncommutative) system and
a commutative system.

26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg