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Dynamics of Wilson Observables in Non-Commutative Gauge Theory

Mohab Abou-Zeid·Harald Dorn
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Abstract

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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Mohab Abou-Zeid, Harald Dorn. 2001-01-16. Dynamics of Wilson Observables in Non-Commutative Gauge Theory. https://doi.org/10.1016/s0370-2693(01)00270-2

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