Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model

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.

References in corpus (16)

• The Phase Structure of the Polyakov--Quark-Meson Model
• QCD at finite chemical potential with six time slices
• Susceptibilities near the QCD (tri)critical point
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Thermodynamics of the PNJL model
• Quark number susceptibilities: lattice QCD versus PNJL model
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• The QCD Phase Boundary from Quark-Gluon Dynamics
• PNJL model with a Van der Monde term
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Fluctuations and isentropes near the chiral critical endpoint
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma

Cited by in corpus (25)

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• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Are there hadronic bound states above the QCD transition temperature?
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Quark number susceptibilities and equation of state at finite chemical potential in staggered QCD with Nt=8
• Quark Matter in a Strong Magnetic Background
• Hadron resonance gas and mean-field nuclear matter for baryon number fluctuations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Control the model sign problem via path optimization method: Monte-Carlo approach to QCD effective model with Polyakov loop
• Non-perturbative dynamics and charge fluctuations in effective chiral models
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction
• Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data
• Mean field approach to flavor susceptibilities with a vector interaction
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Deconfinement vs. chiral symmetry and higher representation matter
• Probing nuclear liquid-gas phase transition with isospin correlations
• Isospin effect on baryon and charge fluctuations from the pNJL model
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model