Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering approach for calculating one-loop effective action and vacuum
  energy   An approach for calculating one-loop effective actions and vacuum energies in
nonrelativistic quantum field theory is suggested. The starting point is to
regard one-loop effective actions and vacuum energies in quantum field theory
and scattering phase shifts and amplitudes in quantum mechanics as spectral
functions of an operator. Different spectral functions of the same operator may
belong to different fields of physics. Methods for calculating various spectral
functions can be interconverted through transform relations among spectral
functions. In principle, all methods for calculating scattering phase shifts
and amplitudes can be converted to methods for the calculation of the one-loop
effective actions and vacuum energies. As an example, we convert the Born
approximation in quantum mechanics to a method for calculating one-loop
effective actions and vacuum energies.

2
The categories of this paper are: math
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org