Sensitivity of finite size effects to the boundary conditions and the vacuum term

Abstract

Finite volume effects are studied both with low-momentum cutoff and with momentum discretization in the framework of an (axial)vector meson extended quark-meson model with Polyakov-loop variables. In the momentum cutoff scenario, the CEP moves to lower temperatures and larger quark chemical potentials as the characteristic system size is reduced, however, the treatment of the vacuum term significantly affects its trajectory. The size dependence of the baryon fluctuations is also studied by the kurtosis and the skewness, both of which show moderate dependence on temperature and some dependence on quark chemical potential. The order of the phase transition is also studied near the chiral limit at finite system size and found to be second-order only at vanishing explicit breaking. The implementation of the finite size effect with momentum discretization is more complicated and shows peculiar behavior due to the different modes dropping below the Fermi surface and strong dependence on the type of the boundary condition chosen. We found that both the different boundary conditions and the treatment of the vacuum term cause significant changes in the trajectory of the CEP as the characteristic system size is changed.

arXiv comment20 pages, 24 figures

References in corpus (46)

• Weyl Semimetal in a Topological Insulator Multilayer
• Chiral effective model with the Polyakov loop
• On the Phase Diagram of QCD
• The QCD Equation of State with almost Physical Quark Masses
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Non-monotonic energy dependence of net-proton number fluctuations
• Finite volume effects for meson masses and decay constants
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• The three-flavor chiral phase structure in hot and dense QCD matter
• The pion mass in finite volume
• Volume fluctuations and higher order cumulants of the net baryon number
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• Polyakov loop fluctuations in SU(3) lattice gauge theory and an effective gluon potential
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• Influence of quark boundary conditions on the pion mass in finite volume
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• Effects of kinematic cuts on net-electric charge 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
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Volume dependence of baryon number cumulants and their ratios
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• Casimir effect for nucleon parity doublets
• Finite volume effects on the chiral phase transition from Dyson-Schwinger equations of QCD
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Finite-size effects on the Phase Structure of the Walecka Model
• Finite size effects on $M_{\pi }$ in QCD from Chiral Perturbation Theory
• Neutron star properties with careful parameterization in the (axial)vector meson extended linear sigma model
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Chiral crossover transition from the Dyson-Schwinger equations in a sphere
• Influence of finite volume effect on the Polyakov Quark-Meson model
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• The fate of the critical endpoint at large $N_c$
• QED3 at Finite Temperature and Density
• Finite-volume effects in baryon number fluctuations around the QCD critical endpoint
• Zero-mode contribution and quantized first order phase transition in a droplet quark matter
• Volume effects on the QCD critical end point from thermal fluctuations within the super statistics framework
• Compact star properties from an extended linear sigma model
• Finite volume effects in the extended linear sigma model via low momentum cutoff

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