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

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.

11 pages, 10 figures, version after referee reports

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• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Finite-size effects on the Phase Structure of the Walecka Model
• Geometrically confined thermal field theory: Finite size corrections and phase transitions
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Asymptotic scaling and continuum limit of pure SU(3) lattice gauge theory