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=LT, 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.
Nardelli, G., Bassetto, A., Colferai, D., q anti-q interaction in light cone gauge formulations of Yang-Mills theory in (1+1)-dimensions, <<NUCLEAR PHYSICS. B>>, 1997; 1997 (501): 227-250. [doi:http://dx.doi.org/10.1016/S0550-3213(97)00346-5] [http://hdl.handle.net/10807/8598]
q anti-q interaction in light cone gauge formulations of Yang-Mills theory in (1+1)-dimensions
Nardelli, Giuseppe;Bassetto, Antonio;
1997
Abstract
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=LT, 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.
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