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.

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

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• SU(N) gauge theories in 2+1 dimensions
• The Status of Lattice QCD at Finite Temperature
• Results from the Relativistic Heavy Ion Collider
• QCD Thermodynamics on lattice
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