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Finite-Size Effects on the Density-Driven Deconfinement Phase Transition in QCD
1, 2 , * 1 , 1, 3
1  Particle and Statistical Physics Laboratory, Department of Physics, Higher Normal School of Kouba, P.O. Box 92, Vieux-Kouba, Algiers, 16050, Algeria.
2  Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boite Postale 32, El Alia, Algiers 16111, Algeria
3  Physics department, Université M’hamed Bougara Boumerdes, Boumerdes 35000, Algeria
Academic Editor: Mate Csanad

Abstract:

We investigate finite-size effects on the density-driven deconfinement phase transition (DPT) in Quantum Chromodynamics (QCD) using a model of coexisting hadronic and quark–gluon plasma (QGP) phases in a finite volume. The QGP phase is modeled via the MIT bag approach, explicitly incorporating the color-singletness constraint to account for the color confinement. As a continuation of our previous work, in the present study, we will analyze the first and second chemical derivatives of the order parameter across a range of quark chemical potentials (μ), at fixed temperature (T) and for several volume (V) selections, to determine the effective transition point in a finite volume. Our results reveal that the effective transition chemical potential μc(V) shifts to higher values as the system size decreases, highlighting the pronounced influence of finite-volume effects. Moreover, the rapid variations in the order parameter and its chemical susceptibility at the transition in large volumes, are rounded off in small volumes, and the transition region is smeared out, acquiring a width δµ(V) which increases with decreasing volume. These findings provide a comprehensive understanding of how finite-volume constraints influence the QCD phase structure, offering important insights for interpreting results from heavy-ion collisions and other high-energy experiments where the system size is inherently limited.

Keywords: Finite-size effects; Density-driven deconfinement phase transition; Coexistence model; Color-singlet QGP; Effective transition point.
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