Q(Q)OVER-BAR INTERACTION IN LIGHT-CONE GAUGE FORMULATIONS OF YANG-MILLS THEORY IN 1-DIMENSIONS(1)

A rectangular Wilson loop with sides parallel to space and time direct ions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1 + 1 dimensions, with ''instantaneous'' and ' 'causal'' interactions between static quarks, In the instantaneous for mulation we get Abelian-like exponentiation of the area in terms of C- F. In the ''causal'' formulation the loop depends not only on the area , but also on the dimensionless ratio beta = L/T, 2L and 2T being the lengths of the rectangular sides, Besides it also exhibits dependence on C-A. In the limit T --> infinity the area law is recovered, but dep endence on C-A survives. Consequences of these results are pointed out . (C) 1997 Elsevier Science B.V.