Spatial Wilson loops in the classical field of high-energy heavy-ion collisions
arXiv:1311.2066 · doi:10.1103/PhysRevD.89.057501
Abstract
It has been previously shown numerically that the expectation value of the magnetic Wilson loop at the initial time of a heavy-ion collision exhibits area law scaling. This was obtained for a classical non-Abelian gauge field in the forward light cone and for loops of area . Here, we present an analytic calculation of the spatial Wilson loop in the classical field of a collision within perturbation theory. It corresponds to a diagram with two sources, for both projectile and target, whose field is evaluated at second order in the gauge potential. The leading non-trivial contribution to the magnetic loop in perturbation theory is proportional to the square of its area.
4 pages, 4 figures. v2: minor revisions, new version to appear in PRD