Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improving the Renormalization Group approach to the quantum-mechanical
  double well potential   The gap between ground and first excited state of the quantum-mechanical
double well is calculated using the Renormalization Group equations to the
second order in the derivative expansion, obtained within a class of proper
time regulators. Agreement with the exact results is obtained both in the
strong and weak coupling regime.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math