The confined-deconfined Interface Tension and the Spectrum of the Transfer Matrix

TL;DR

This paper investigates the interface tension between confined and deconfined phases in SU(3) gauge theory, using lattice simulations to measure the transfer matrix spectrum and analyze interface properties.

Contribution

It provides a numerical estimate of the reduced interface tension at the critical temperature and explores the nature of domain walls and interfaces in the phase transition.

Findings

Reduced interface tension $\sigma_{cd} = 0.139(4) T_c^2$ at $L_t=2$

Deconfined-deconfined domain walls are fully wet by the confined phase

Confined-deconfined interfaces are rough

Abstract

The reduced tension $\sigma_{cd}$ of the interface between the confined and the deconfined phase of $SU(3)$ pure gauge theory is related to the finite size effects of the first transfer matrix eigenvalues. A lattice simulation of the transfer matrix spectrum at the critical temperature $T_c = 1/L_t$ yields $\sigma_{cd} = 0.139(4) T_c^2$ for $L_t = 2$. We found numerical evidence that the deconfined-deconfined domain walls are completely wet by the confined phase, and that the confined-deconfined interfaces are rough.