Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axioms for Quantum Gauge Fields   The purpose of this paper is to extend the classical axiom scheme for quantum
field theory to include most of the known examples of quantum gauge theories.
The axioms are developed in both the Euclidean and Minkowski metrics for space
time. We demonstrate that the Euclidean axioms imply the Minkowski (Wightman)
axioms. We also prove the reconstruction theorem for Yang-Mills quantum fields
as operator-valued tempered distributions with gauge transformation properties.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys