qq interaction in light-cone gauge formulations of Yang-Mills theory in 1 + 1 dimensions Original Research Article

A rectangular Wilson loop with sides parallel to space and time directions 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 formulation we get Abelian-like exponentiation of the area in terms of CF. In the “causal” formulation the loop depends not only on the area, but also on the dimensionless ratio β = L/T, 2L and 2T being the lengths of the rectangular sides. Besides it also exhibits dependence on CA. In the limit T → ∞ the area law is recovered, but dependence on CA survives. Consequences of these results are pointed out.