Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantum field algebra   The Laplace Hopf algebra created by Rota and coll. is generalized to provide
an algebraic tool for combinatorial problems of quantum field theory. This
framework encompasses commutation relations, normal products, time-ordered
products and renormalisation. It considers the operator product and the
time-ordered product as deformations of the normal product. In particular, it
gives an algebraic meaning to Wick's theorem and it extends the concept of
Laplace pairing to prove that the renormalised time-ordered product is an
associative deformation of the normal product involving an infinite number of
parameters. The parameters themselves form a group: the renormalisation group,
which acts on the product instead of on the algebra.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ