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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
