Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularization of ultraviolet divergence for a particle interacting with
  a scalar quantum field   When a nonrelativistic particle interacts with a scalar quantum field, the
standard perturbation theory leads to a dependence of the energy of its ground
state on an undefined parameter---"momentum cutoff"---due to the ultraviolet
divergence. We show that the use of nonasymptotic states of the system results
in a calculation scheme in which all observable quantities remain finite and
continuously depend on the coupling constant without any additional parameters.
It is furthermore demonstrated that the divergence of traditional perturbation
series is caused by the energy being a function with a logarithmic singularity
for small values of the coupling constant.

21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom