The Free Energy of Spherical Bubbles in Lattice SU(3) Gauge Theory

Abstract

We study the coefficients of the expansion $F(R)=1/3c_3{R}^3+1/2c_2{R}^2+c_{1}R$ of the free energy of spherical bubbles at $T=T_c$ in pure glue QCD using lattice Monte Carlo techniques. The coefficient $c_3$ vanishes at $T=T_c$ and our results suggest that the sign and the order of magnitude of $c_1$ is in agreement with the value $c_1=\pm 32\pi T_c^2/9$ (- for hadronic bubbles in quark phase, + for quark bubbles in hadronic phase) computed by Mardor and Svetitsky from the MIT bag model. The parameter $c_2$ is small in agreement with earlier determinations.

Comments: (11 pages; 10 ps-figures)