A Multicanonical Algorithm and the Surface Free Energy in SU(3) Pure Gauge Theory

TL;DR

This paper introduces a multicanonical algorithm for SU(3) pure gauge theory, effectively measuring tunneling times and surface free energy at the deconfinement transition, with improved scalability over canonical methods.

Contribution

The paper develops a multicanonical algorithm that reduces tunneling time growth with lattice size and enables accurate surface free energy measurement in SU(3) gauge theory.

Findings

Tunneling times increase moderately with lattice size using the new algorithm.

The multicanonical algorithm effectively measures interfacial free energy.

The approach improves computational efficiency over canonical algorithms.

Abstract

We present a multicanonical algorithm for the SU(3) pure gauge theory at the deconfinement phase transition. We measure the tunneling times for lattices of size L^3x2 for L=8,10, and 12. In contrast to the canonical algorithm the tunneling time increases only moderately with L. Finally, we determine the interfacial free energy applying the multicanonical algorithm.