Dynamics of Wilson Observables in Non-Commutative Gauge Theory

Details Dynamics of Wilson Observables in Non-Commutative Gauge Theory Dynamics of Wilson Observables in Non-Commutative Gauge Theory

2000-09-28

arxiv.org/abs/hep-th/0009231v4

Phys.Lett. B504 (2001) 165-173

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, typo in formula (32) corrected

Scientific paper

10.1016/S0370-2693(01)00270-2

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.

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