Deconfining Phase Transition on Lattices with Boundaries at Low Temperature

Abstract

In lattice gauge theory (LGT) equilibrium simulations of QCD are usually performed with periodic boundary conditions (BCs). In contrast to that deconfined regions created in heavy ion collisions are bordered by the confined phase. Here we discuss BCs in LGT, which model a cold exterior of the lattice volume. Subsequently we perform Monte Carlo (MC) simulations of pure SU(3) LGT with a thus inspired simple change of BCs using volumes of a size comparable to those typically encountered in the BNL relativistic heavy ion collider (RHIC) experiment. Corrections to the usual LGT results survive in the finite volume continuum limit and we estimate them as function of the volume size. In magnitude they are found comparable to those of including quarks. As observables we use a pseudocritical temperature, which rises opposite to the effect of quarks, and the width of the transition, which broadens similar to the effect of quarks.

A section about boundary conditions has been added. Extended MC calculations. 8 pages, 7 figures

References in corpus (3)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Results from the Relativistic Heavy Ion Collider
• Glauber dynamics of phase transitions: SU(3) lattice gauge theory

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• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Thermalization in SU(3) gauge theory after a deconfining quench
• Effect of finite volume on thermodynamics of quark-hadron matter
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