Parametric investigation of a thermally driven QCD Deconfining Phase Transition in a finite volume at zero chemical potential

International Conference on Quantum Science and Applications 2016

Bensalem, S.^1 ; Ait El Djoudi, A.^1

Laboratoire de Physique des Particules et Physique Statistique, Ecole Normale Supérieure-Kouba, B.P. 92, Algiers, Vieux-Kouba

16050, Algeria^1

关键词: Finite size effect;    Parametric investigations;    Partition functions;    Physical quantities;    Probability densities;    Quantum chromo dynamics;    Quark-gluon plasma;    Statistical descriptions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012009/pdf
DOI  :  10.1088/1742-6596/766/1/012009

来源: IOP

【 摘 要 】

This work deals with a statistical description of a thermally driven deconfining phase transition (DPT) from a hadronic gas consisting of massless pions to a color-singlet Quark- Gluon Plasma (QGP), in a finite volume. The thermodynamical approach, within a coexistence model is used to investigate the Quantum Chromo-Dynamics DPT occurring between the two phases, at vanishing chemical potential. Considering the color singletness condition for the QGP phase, with massless up and down quarks, the exact total partition function of the studied system is obtained and then employed to calculate mean values of physical quantities, well characterizing the system near the transition. The finite-size effects on the DPT have been investigated through the study of the thermal behavior of the order parameter, the susceptibility and the second cumulant of the probability density. The similarity between the susceptibility and the second cumulant representing the variance is probed for the studied DPT and a parameterization of the variance is proposed for the first time.