Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum fields and quantum groups   Quantum fields are shown to provide an example of infinite-dimensional
quantum groups. A dictionary is established between quantum field and quantum
group concepts: the expectation value over the vacuum is the counit, Wick's
theorem is the definition of a twisted product, operator and time-ordered
products are examples of twisted products. Through this dictionary,
coquasitriangular structures are introduced in quantum field theory. These
structures are the origin of Wick's theorem and quasifree states.
Renormalization becomes the replacement of a coquasitriangular structure by a
2-coboundary. Quantum groups provide a second quantization without commutators
which can second-quantize noncommutative algebras.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga