Finite-Size Scaling Analysis for the QCD Deconfining Phase Transition to a Color-Singlet Quark-Gluon Plasma with the Three u, d, and s Quark Flavors
Abstract
In this work, we calculate the partition function of the Quark-Gluon plasma (QGP) projected on the SU(3) color-singlet representation, using the projection method, within a density of states for quarks and gluons given by the Multiple Reflexion Expansion (MRE) approximation. We examine the impact of incorporating the area and curvature terms, in addition to the volume term in the density of states, on the behavior of several physical quantities characterizing the deconfining phase transition from a hadronic gas phase of massive pions, to a Quark-Gluon plasma (QGP) phase made up of gluons, massless up and down quarks, and massive strange quarks along with their antiquarks, within the Bag model and a phenomenological phase coexistence model. By means of a finite-size scaling analysis, we investigate the behavior of some scaling exponents relevant to the occurring deconfining phase transition in a finite volume, especially that of the scaling exponent relative to the shift of the effective transition temperature, by considering contributions of the curvature term only, the area term only in the density of states additionally to the volume term, then the contribution of all three terms, by analyzing the value of the shift critical exponent λ compared to that obtained previously using the volume term only in the quarks and gluons density of states.
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