A First Principles Estimate of Finite Size Effects in Quark-Gluon Plasma Formation

Abstract

Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free energy density for the slab when compared with bulk behavior. A small shift in the critical temperature is also seen. The free energy required to liberate heavy quarks relative to bulk is measured using Polyakov loops; the additional free energy required is on the order of 30-40 MeV at 2-3 T_c.

Comments: 10 pages, 5 figures, RevTeX; revised version includes comparison with the Bjorken model and various small improvements