# Critical properties of the Z(3) interface in (2+1)-D SU(3) gauge theory

## TL;DR

This study investigates the properties of Z(3) interfaces in a 2+1 dimensional SU(3) gauge theory, revealing that the interface remains narrow near the critical temperature and shares characteristics with similar statistical systems.

## Contribution

The paper provides the first detailed analysis of Z(3) interface fluctuations and dynamical exponents in 2+1D SU(3) gauge theory near the deconfinement transition.

## Key findings

- Intrinsic interface width remains small near critical temperature
- Dynamical exponents governing interface interactions are estimated
- Z(3) interface properties are similar to those in other statistical systems

## Abstract

We study the interface between two different Z(3) vacua in the deconfined phase of SU(3) pure gauge theory in 2+1 dimensions just above the critical temperature. In simulations of the Euclidean lattice gauge theory formulation of the system we measure the fluctuations of the interface as the critical temperature is approached and as a function of system size. We show that the intrinsic width of the interface remains small even very close to the critical temperature. Some dynamical exponents which govern the interaction of the interface with our Monte Carlo algorithm are also estimated. We conclude that the Z(3) interface has properties broadly similar to those in many other comparable statistical mechanical systems.