Finite-size effects and scaling properties of chiral and baryon-number fluctuations

Abstract

An effective chiral model is introduced to illustrate finite-size effects, incorporating the standard zero-mode treatment, momentum-space discretization, and gradient effects modeled via a prescribed finite-volume profile. The fluctuations of the chiral order parameter and the net-baryon number, as well as their scaling properties, are investigated near a critical point and a first-order transition in finite-size systems. The finite-volume effects on the Binder cumulant and the kurtosis are shown along the phase boundary and the approximate freeze-out line, respectively. Phenomenological implications on fluctuation observables are pointed out and explained.

16 pages, 14 figures

References in corpus (20)

• Non-monotonic energy dependence of net-proton number fluctuations
• Meson Screening Masses in (2+1)-Flavor QCD
• Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• Status of Chemical Freeze-Out
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• The Chiral Condensate in a Finite Volume
• Higher-Order Cumulants and Correlation Functions of Proton Multiplicity Distributions in $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV Au+Au Collisions at the RHIC STAR Experiment
• QCD phase transitions in the light quark chiral limit
• Volume dependence of baryon number cumulants and their ratios
• Finite-size scaling around the critical point in the heavy quark region of QCD
• Finite-size effects on the Phase Structure of the Walecka Model
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Quantum fluctuation in an inhomogeneous background and its influence on the phase transition in a finite volume system
• Finite volume effects in the extended linear sigma model via low momentum cutoff
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Phase transitions and finite-size effects in integrable virial statistical models