SU(3) deconfining phase transition with finite volume corrections due to a confined exterior

TL;DR

This study investigates how finite volume effects influence the SU(3) deconfining phase transition using lattice gauge theory simulations with a double-layered torus geometry, revealing significant corrections comparable to quark effects.

Contribution

It introduces a novel approach using a double-layered torus geometry to analyze finite volume corrections in SU(3) deconfinement transitions.

Findings

Finite volume corrections significantly affect the deconfining temperature and width.

Finite size scaling exponents for susceptibilities are calculated.

Corrections are comparable to effects of including quarks in the model.

Abstract

Using the geometry of a double-layered torus we investigate the deconfining phase transition of pure SU(3) lattice gauge theory by Markov chain Monte Carlo simulations. In one layer, called "outside", the temperature is set below the deconfining temperature and in the other, called "inside", it is iterated to a pseudo-transition temperature. Lattice sizes are chosen in a range suggested by the physical volumes achieved in relativistic heavy ion collisions and both temperatures are kept close enough to stay in the SU(3) scaling region. Properties of the transition are studied as function of the volume for three outside temperatures. When compared with infinite volume extrapolations, small volume corrections of the deconfining temperature and width become competitive with those found by including quarks. Effective finite size scaling exponents of the specific and Polyakov loop susceptibilities are also calculated.