Magnetic flux loop in high-energy heavy-ion collisions

Abstract

We consider the expectation value of a magnetic flux loop in the immediate forward light cone of collisions of heavy nuclei at high energies. Such collisions are characterized by a non-linear scale Q_s where color fields become strong. We find that loops of area greater than ~2/Q_s^2 exhibit area law behavior, which determines the scale of elementary flux excitations ("vortices"). We also estimate the magnetic string tension, sigma_M = 0.12 Q_s^2. By the time t ~ 1/Q_s even small loops satisfy an area law. We describe corrections to the propagator of semi-hard gluons at very early times in the background of fluctuating magnetic fields.

Comments: 4 pages, 5 figures; v2: added plot of Z(N) part of loop in fig.1; v3: added magnetic loop for asymmetric projectile/target saturation momenta, estimate of vortex density, and an appendix; v4: corrected outline of perturbative calculation of Wilson loop; to appear in PRD