Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yang-Mills Fields and Riemannian Geometry   It is possible to define new, gauge invariant variables in the Hilbert space
of Yang-Mills theories which manifestly implement Gauss' law on physical
states. These variables have furthermore a geometrical meaning, and allow one
to uncover further constraints physical states must satisfy. For gauge group
$SU(2)$, the underlying geometry is Riemannian and based on the group $GL(3)$.
The formalism allows also for the inclusion of static color sources and the
extension to gauge groups $SU(N>2)$, both of which are discussed here.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat