Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular
  coefficients   We derive Feynman-Kac formulas for Dirichlet realizations of Pauli-Fierz
operators generating the dynamics of nonrelativistic quantum mechanical matter
particles, which are minimally coupled to both classical and quantized
radiation fields and confined to an arbitrary open subset of the Euclidean
space. Thanks to a suitable interpretation of the involved Stratonovich
integrals, we are able to retain familiar formulas for the Feynman-Kac
integrands merely assuming local square-integrability of the classical vector
potential and the coupling function in the quantized vector potential. Allowing
for fairly general coupling functions becomes relevant when the
matter-radiation system is confined to cavities with inward pointing boundary
singularities.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg