The Confined-Deconfined Interface Tension in Quenched QCD using the Histogram Method

TL;DR

This paper measures the interface tension between confined and deconfined phases in quenched QCD using histogram methods on lattice simulations, employing advanced algorithms and geometries to improve accuracy.

Contribution

It introduces a novel application of Binder's histogram method combined with multicanonical algorithms to determine interface tension in quenched QCD.

Findings

Estimated interface tension at $L_t=2$ for various lattice sizes.

Demonstrated the importance of rectangular geometries and multicanonical algorithms.

Provided an estimate for $\sigma_{cd}$ at $L_t=4$ based on existing data.

Abstract

We present results for the confinement-deconfinement interface tension $\sigma_{cd}$ of quenched QCD. They were obtained by applying Binder's histogram method to lattices of size $L^2\times L_z\times L_t$ for $L_t=2$ and $L=8,10,12\mbox{ and }14$ and various $L_z\in [L,\, 4\, L]$. The use of a multicanonical algorithm and rectangular geometries have turned out to be crucial for the numerical studies. We also give an estimate for $\sigma_{cd}$ at $L_t=4$ using published data.