Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Wilson Observables in Non-Commutative Gauge Theory   An equation for the quantum average of the gauge invariant Wilson loop in
non-commutative Yang-Mills theory with gauge group U(N) is obtained. In the 't
Hooft limit, the equation reduces to the loop equation of ordinary Yang-Mills
theory. At finite $N$, the equation involves the quantum averages of the
additional gauge invariant observables of the non-commutative theory associated
with open contours in space-time. We also derive equations for correlators of
several gauge invariant (open or closed) Wilson lines. Finally, we discuss a
perturbative check of our results.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin