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

K. Kajantie; Leo Karkkainen; K. Rummukainen

doi:10.1016/0370-2693(92)90169-5

paper

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

arXiv:hep-lat/9204013 · doi:10.1016/0370-2693(92)90169-5

Abstract

We study the coefficients of the expansion $F (R) = 1/3 c_{3} R^{3} + 1/2 c_{2} R^{2} + c_{1} R$ 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 $c_{1} = \pm 32 I ¨ T_{c}^{2} /9$ (- 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.

(11 pages; 10 ps-figures)