Finite-size effects in the nonlocal PNJL model shift the critical end point of magnetized quark matter toward higher chemical potentials and lower temperatures as droplet radius decreases.
Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
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abstract
The Monte-Carlo method is applied to the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. This leads beyond the saddle-point approximation in a mean-field calculation and introduces fluctuations around the mean fields. We study the impact of fluctuations on the thermodynamics of the model, both in the case of pure gauge theory and including two quark flavors. In the two-flavor case, we calculate the second-order Taylor expansion coefficients of the thermodynamic grand canonical partition function with respect to the quark chemical potential and present a comparison with extrapolations from lattice QCD. We show that the introduction of fluctuations produces only small changes in the behavior of the order parameters for chiral symmetry restoration and the deconfinement transition. On the other hand, we find that fluctuations are necessary in order to reproduce lattice data for the flavor non-diagonal quark susceptibilities. Of particular importance are pion fields, the contribution of which is strictly zero in the saddle point approximation.
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hep-ph 1years
2026 1verdicts
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Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
Finite-size effects in the nonlocal PNJL model shift the critical end point of magnetized quark matter toward higher chemical potentials and lower temperatures as droplet radius decreases.