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We study the finite-size effects for the thermal QCD Deconfinement PhaseTransition (DPT), and use a numerical finite size scaling analysis to extractthe scaling exponents characterizing its scaling behavior when approaching thethermodynamic limit. For this, we use a simple model of coexistence of hadronicgas and color-singlet Quark Gluon Plasma (QGP) phases in a finite volume. TheColor-Singlet Partition Function (CSPF) of the QGP cannot be exactly calculatedand is usually derived within the saddle point approximation. When we try to docalculations with such an approximate CSPF, a problem arises in the limit ofsmall temperatures and/or volumes (VT3<<1), requiring then additionalapproximations if we want to carry out calculations. We propose in this work anew method for an accurate calculation of any quantity of the finite system,without explicitly calculating the CSPF itself and without any approximation.By probing the behavior of some useful thermodynamic response functions on thehole range of temperature, it turns out that in a finite size system, allsingularities in the thermodynamic limit are smeared out and the transitionpoint is shifted away. A numerical finite size scaling analysis of the obtaineddata allows us to determine the scaling exponents of the QCD DPT. Our resultsexpressing the equality between their values and the space dimensionality is aconsequence of the singularity characterizing a first order phase transitionand agree very well with the predictions of other FSS theoretical approachesand with the results of both lattice QCD and Monte Carlo models calculations.Comment: 09 pages, 11 Postscript figure

Finite-size effects and scaling for the thermal QCD deconfinementphase transition within the exact color-singlet partition function