Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-18
Nucl.Phys. B617 (2001) 308-320
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, LaTex, no figures
Scientific paper
10.1016/S0550-3213(01)00477-1
We perform a perturbative ${\cal O}(g^4)$ Wilson loop calculation for the U(N) Yang-Mills theory defined on non-commutative one space - one time dimensions. We choose the light-cone gauge and compare the results obtained when using the Wu-Mandelstam-Leibbrandt ($WML$) and the Cauchy principal value ($PV$) prescription for the vector propagator. In the $WML$ case the $\theta$-dependent term is well-defined and regular in the limit $\theta \to 0$, where the commutative theory is recovered; it provides a non-trivial example of a consistent calculation when non-commutativity involves the time variable. In the $PV$ case, unexpectedly, the result differs from the $WML$ one only by the addition of two singular terms with a trivial $\theta$-dependence. We find this feature intriguing, when remembering that, in ordinary theories on compact manifolds, the difference between the two cases can be traced back to the contribution of topological excitations.
Bassetto Antonio
Nardelli Giuseppe
Torrielli Alessandro
No associations
LandOfFree
Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-581363