The exact Wilson loop expression for the pure Yang-Mills U(N) theory on a sphere S2 of radius R exhibits, in the decompactification limit R â†’ âˆž, the expected pure area exponentiation. This behaviourâ€¦ (More)

We study the quantum properties of certain BPS Wilson loops in N = 4 supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalarâ€¦ (More)

We obtain a f ormal solution of an integral equation for q Â¯ q bound states, depending on a parameter Î· which interpolates between 't Hooft's (Î· = 0) and Wu's (Î· = 1) equations. We also get anâ€¦ (More)

We present an investigation on the invariance properties of noncommutative Yang-Mills theory in two dimensions under area preserving diffeomorphisms. Stimulated by recent remarks by Ambjorn, Dubinâ€¦ (More)

We show that keeping only the topologically trivial contribution to the average of a class function on U (N) amounts to integrating over its algebra. The goal is reached first by decompactifying anâ€¦ (More)

A rectangular Wilson loop centered at the origin, with sides parallel to space and time directions and length 2L and 2T respectively, is perturbatively evaluated O(g 4) in Feynman gauge forâ€¦ (More)

We calculate in dimensions D = 2 + Ç« and in light-cone gauge (LCG) the per-turbative O(g 4) contribution to a rectangular Wilson loop in the (t, x)-plane coming from diagrams with a self-energyâ€¦ (More)

We study the perturbative unitarity of non-commutative quantum Yang-Mills theories, extending previous investigations on scalar field theories to the gauge case where non-locality mingles with theâ€¦ (More)

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with n windings aâ€¦ (More)

We perform a perturbative O(g4) Wilson loop calculation for the U(N) YangMills theory defined on non-commutative one space one time dimensions. We choose the light-cone gauge and compare the resultsâ€¦ (More)