Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-03
Nucl.Phys. B501 (1997) 227-250; Erratum-ibid. B507 (1997) 746-747
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, latex, one figure included as a ps file, an Erratum included
Scientific paper
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 $C_F$. In the ``causal'' formulation the loop depends not only on the area, but also on the dimensionless ratio $\beta = {L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law is recovered, but dependence on $C_A$ survives. Consequences of these results are pointed out.
Bassetto Antonio
Colferai Dimitri
Nardelli Giuseppe
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