Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential operators on infinite dimensional space and quantum field
  theory   We conjecture that the renormalized perturbative $S$-matrix of quantum field
theory coincides with the evolution operator of the standard functional
differential Schrodinger equation whose right hand side (quantum local
Hamiltonian) is understood as an element of an appropriate quantization of the
Poisson algebra of classical field theory Hamiltonians. We show how to
construct a quantization of this algebra, close to the algebra of differential
operators on infinite dimensional space, but seemingly not appropriate for
quantum field theory.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph