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Finite-Size Effects Near QCD Critical Point: Quark Number Susceptibility

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Abstract

To extract the critical exponents characterizing the scaling behavior of the deconfinement phase transition, at the thermodynamic limit, we study the finite-size effects of the density driven deconfinement phase transition in quantum chromo-dynamics (QCD) by using a numerical finite-size scaling analysis (FSS). To this end, a coexistence model of the hadronic and color-singlet quark gluon plasma (QGP) phases is utilized, in which an MIT bag model is adopted to count for the first-order phase transition, at large density. We focus this study on the quark number susceptibility (QNS), which provides relevant information about orders of the phase transitions. By calculating the critical exponents related to QNS on the entire range of quark chemical potentials, at fixed temperature, the orders of the phase transitions could be determined. We conclude that our results are compatible with the first-order phase transition and agree very well with the predictions of other FSS approaches and with the statistical models as well as with the lattice QCD simulations.

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Acknowledgements

This research work is supported by the Algerian Ministry of Higher Education and Scientific Research.

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Authors and Affiliations

  1. Laboratoire de Physique des Particules et Physique Statistique, Ecole Normale Supérieure-Kouba, B.P. 92, 16050, Vieux-Kouba, Algiers, Algeria

    B. Moussaoui & A. Ait El Djoudi

  2. Future University in Egypt (FUE), Fifth Settlement, New Cairo, 11835, Egypt

    A. Tawfik

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  1. B. Moussaoui
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  2. A. Ait El Djoudi
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  3. A. Tawfik
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Correspondence to A. Ait El Djoudi.

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Moussaoui, B., Ait El Djoudi, A. & Tawfik, A. Finite-Size Effects Near QCD Critical Point: Quark Number Susceptibility. Int J Theor Phys 61, 181 (2022). https://doi.org/10.1007/s10773-022-05159-x

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