Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concerning a natural compatibility condition between the action and the
  renormalized operator product   In this article we note that in a number of situations the operator product
and the classical action satisfy a natural compatibility condition. We consider
the interest of this condition to be twofold: First, the naturality
(functoriality) of the compatibility condition suggests that it be used for
geometrical applications of renormalized functional integration. Second, the
compatibility can be used as the definition of a category; consideration of
this category as the central object of study in quantum field theory seems to
have quite some advantages over previously introduced theories of the type
``S-matrix theory'', ``Vertex operator algebras'', since this seems to be the
only category in which both the action and the expectation values enter, the
two being linked roughly speaking by a combination of the Frobenius property
and the renormalized Schwinger-Dyson equation.

11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol