Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical renormalization of Hamiltonian field theories   We rigorously define renormalized evolution operator of the Schr\"odinger
equation in the infinite dimensional Weyl-Moyal algebra for any time interval
for arbitrary Hamiltonian depending on time. We state that for renormalizable
field theories, in the interaction representation, and for the time interval
being the full real axis, our construction yields standard renormalized
$S$-matrix and Green functions of perturbative quantum field theory.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph