Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a possible approach to general field theories with nonpolynomial
  interactions   In this work a class of massive scalar field theories with self-interactions
described by a general potential is studied. Under the sole condition that the
potential admits the Fourier representation, it is shown that such theories may
be mapped into a standard field theory, in which the interaction of the new
fields is a polynomial of fourth degree. With some restrictions, this mapping
allows the perturbative treatment of models that are otherwise intractable with
standard field theoretical methods.
  A nonperturbative approach to these theories is attempted. The original
scalar field is integrated out exactly at the price of introducing auxiliary
vector fields. The latter are treated in a mean field theory approximation. The
singularities that arise after the elimination of the auxiliary fields are
cured using the dimensional regularization. The expression of the counterterms
to be subtracted is computed.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg