Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram

Abstract

We use the linear sigma model with quarks to locate the critical end point in the effective QCD phase diagram accounting for fluctuations in temperature and quark chemical potential. For this purpose, we use the non-equilibrium formalism provided by the superstatistics framework. We compute the effective potential in the high- and low-temperature approximations up to sixth order and include the contribution of ring diagrams to account for plasma screening effects. We fix the model parameters from relations between the thermal sigma and pion masses imposing a first order phase transition at zero temperature and a finite critical value for the baryon chemical potential that we take of order of the nucleon mass. We find that the CEP displacement due to fluctuations in temperature and/or quark chemical potential is almost negligible.

arXiv comment15 pages, 9 figures

References in corpus (65)

• Superstatistics
• The phase diagram of dense QCD
• Chiral crossover in QCD at zero and non-zero chemical potentials
• On the Phase Diagram of QCD
• The QCD thermal phase transition in the presence of a small chemical potential
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The QCD phase transition with physical-mass, chiral quarks
• The QCD phase structure at finite temperature and density
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Chiral Phase Transition within Effective Models with Constituent Quarks
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The critical end point of QCD
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Phase structure of three and four flavor QCD
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Superstatistics: Theory and Applications
• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Collision Energy Dependence of Moments of Net-Kaon Multiplicity Distributions at RHIC
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Exploring the QCD Phase Structure with Beam Energy Scan in Heavy-ion Collisions
• Dynamical vs. equilibrium properties of the QCD phase transition: a holographic perspective
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Radial Flow in Non-Extensive Thermodynamics and Study of Particle Spectra at LHC in the Limit of Small $(q-1)$
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Tsallis statistics approach to the transverse momentum distributions in p-p collisions
• The magnetized effective QCD phase diagram
• On the critical line of 2+1 flavor QCD
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Holographic QCD phase diagram with critical point from Einstein-Maxwell-dilaton dynamics
• An effective model for the QCD phase transitions at finite baryon density
• Chiral symmetry restoration by parity doubling and the structure of neutron stars
• Curvature of the chiral pseudo-critical line in QCD
• Nuclear Modification Factor Using Tsallis Non-extensive Statistics
• QCD phase diagram from finite energy sum rules
• Multiplicity Dependence of Non-extensive Parameters for Strange and Multi-Strange Particles in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• Bootstraping the QCD Critical Point
• Quark number susceptibilities and equation of state at finite chemical potential in staggered QCD with Nt=8
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Superstatistics and the effective QCD phase diagram
• Critical behaviors near the (tri-)critical end point of QCD within the NJL model
• Continuum study on QCD phase diagram through an OPE-modified gluon propagator
• Chiral phase transition and QCD phase diagram from AdS/QCD
• The imprints of superstatistics in multiparticle production processes
• Some intriguing aspects of multiparticle production processes
• Locating the QCD critical endpoint through finite-size scaling
• The Magnetized Electron Gas in terms of Hurwitz Zeta Functions
• Supporting the search for the CEP location with nonlocal PNJL models constrained by Lattice QCD
• Elliptic Flow in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
• On the critical end point in a two-flavor linear sigma model coupled to quarks
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• An example of the interplay of nonextensivity and dynamics in the description of QCD matter
• Critical end point in a thermo-magnetic nonlocal NJL model
• Short-range two-particle correlations from statistical clusters

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