Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four Dimensional Quantum Yang-Mills Theory and Mass Gap   A quantization procedure for the Yang-Mills equations for the Minkowski space
$\mathbf{R}^{1,3}$ is carried out in such a way that field maps satisfying
Wightman axioms of Constructive Quantum Field Theory can be obtained. Moreover,
by removing the ultra violet cut off, the spectrum of the corresponding QCD
Hamilton operator is proven to be positive and bounded away from zero, except
for the case of the vacuum state, which has vanishing energy level. The whole
construction is invariant under gauge transforms preserving the Coulomb gauge.
The particles corresponding to all solution fields are bosons. As expected from
QED, if the coupling constant converges to zero, then so does the mass gap. The
results are proved first for the model with the bare coupling constant, and
then for a model with a running coupling constant by means of renormalization.

35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an