Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation Theory with a Variational Basis: the Generalized Gaussian
  Effective Potential   The perturbation theory with a variational basis is constructed and
analyzed.The generalized Gaussian effective potential is introduced and
evaluated up to the second order for selfinteracting scalar fields in one and
two spatial dimensions. The problem of the renormalization of the mass is
discussed in details. Thermal corrections are incorporated. The comparison
between the finite temperature generalized Gaussian effective potential and the
finite temperature effective potential is critically analyzed. The phenomenon
of the restoration at high temperature of the symmetry broken at zero
temperature is discussed.

9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg