Locating the critical endpoint of QCD: mesonic backcoupling effects

Abstract

We study the effects of pion and sigma meson backcoupling on the chiral order parameters and the QCD phase diagram and determine their effect on the location of the chiral critical endpoint. To this end, we solve a coupled set of truncated Dyson--Schwinger equations for Landau gauge quark and gluon propagators with $N_f=2+1$ dynamical quark flavors and explicitly backcoupled mesons. The corresponding meson bound-state properties and the quark-meson Bethe--Salpeter vertices are obtained from their homogeneous Bethe--Salpeter equation. We find chiral-restoration effects of the pion and/or sigma meson backcoupling and observe a (small) shift of the critical endpoint towards smaller chemical potentials. The curvature of the chiral crossover line decreases. Our results indicate that the location of the critical endpoint in the phase diagram is mainly determined by the microscopic degrees of freedom of QCD (in contrast to its critical properties).

arXiv comment8 pages, 5 figures

References in corpus (43)

• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Chiral crossover in QCD at zero and non-zero chemical potentials
• The Phase Structure of the Polyakov--Quark-Meson Model
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• The QCD crossover at finite chemical potential from lattice simulations
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Phase structure of three and four flavor QCD
• Susceptibilities near the QCD (tri)critical point
• Light mesons in QCD and unquenching effects from the 3PI effective action
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• QCD phase structure from functional methods
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Chiral phase structure and critical end point in QCD
• QCD critical region and higher moments for three flavor models
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Polyakov loop potential at finite density
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• Pion Propagation near the QCD Chiral Phase Transition
• Fully coupled functional equations for the quark sector of QCD
• Hadronic unquenching effects in the quark propagator
• Beyond the rainbow: effects from pion back-coupling
• Real-time pion propagation in finite-temperature QCD
• Baryon number fluctuations at finite temperature and density
• Correlation functions of Landau gauge Yang-Mills theory
• On light baryons and their excitations
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Gluon propagator and three-gluon vertex with dynamical quarks
• Baryon effects on the location of QCD's critical end point
• The gluon propagator close to criticality
• Chiral Susceptibility in (2+1)-flavour QCD
• On Gribov's supercriticality picture of quark confinement
• Pion cloud effects on baryon masses
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• Beyond Rainbow-Ladder in bound state equations
• Dilepton Radiation from Strongly Interacting Systems
• On critical scaling at the QCD N_f=2 chiral phase transition
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Masses and decay constants of (axial-)vector mesons at finite chemical potential
• Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase
• Mesons at finite chemical potential and the Silver-Blaze property of QCD

Cited by in corpus (32)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• QCD at finite temperature and density within the fRG approach: An overview
• Effects of a phase transition on two-pion interferometry in heavy-ion collisions at $\sqrt{s_{\mathrm{NN}}}=2.4-7.7$ GeV
• Cosmology meets functional QCD: First-order cosmic QCD transition induced by large lepton asymmetries
• QCD phase transitions in the light quark chiral limit
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Ripples of the QCD Critical Point
• Soft modes in hot QCD matter
• Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
• The QCD moat regime and its real-time properties
• Chemical freeze-out curve in heavy-ion collisions and the QCD critical point
• Finite-volume effects in baryon number fluctuations around the QCD critical endpoint
• From imaginary to real chemical potential QCD with functional methods
• Locating the QCD critical point through contours of constant entropy density
• Simultaneous description of high density QCD matter in heavy ion collisions and neutron star observations
• Searching for the QCD critical point using Lee-Yang edge singularities
• Space-like Electromagnetic Form Factors of Lambda- and Sigma-Baryons from Quark-Diquark Faddeev Equations
• Coordinate versus momentum cuts and effects of collective flow on critical fluctuations
• Towards a unified hadron-quark equation of state for neutron stars within the relativistic mean-field model
• Dilepton production from moaton quasiparticles
• Universality of pseudo-Goldstone damping near critical points
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• Search for the QCD Critical Point in High Energy Nuclear Collisions: A Status Report
• Dynamical and finite-size effects on the criterion of first-order phase transition
• Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Quark flavors in hot and dense holographic QCD: setup and comparison to data
• High-order fluctuations of temperature in hot QCD matter
• Systematics of the chemical freeze-out line in the high baryon density regime explored at SIS100
• The effect of charm quark on the QCD chiral phase diagram
• Toward a Unified Understanding of the Dense Matter Equation of State
• Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter