Chiral and $U(1{)}_A$ restoration for the scalar/pseudoscalar meson nonets

Abstract

We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral $O(4)$ and $U(1{)}_A$ symmetries. For that purpose, we exploit QCD Ward Identities (WI), which allow one to relate susceptibilities with quark condensates, as well as susceptibility differences with meson vertices. In addition, we consider the low-energy realization of QCD provided by $U(3)$ Chiral Perturbation Theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests $U(1{)}_A$ partner restoration if chiral symmetry partners are also degenerated. This is also confirmed by the ChPT analysis when the light chiral limit is reached. Partner degeneration for the $I=1/2$ sector, the behavior of $I=0$ mixing and the temperature scaling of meson masses predicted by WI are also studied. Special attention is paid to the connection of our results with recent lattice analyses.

arXiv comment28 pages and 16 figures

References in corpus (52)

• The chiral and deconfinement aspects of the QCD transition
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD Equation of State with almost Physical Quark Masses
• The QCD phase transition with physical-mass, chiral quarks
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Large N_c in chiral perturbation theory
• The topological susceptibility in finite temperature QCD and axion cosmology
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• On the magnetic equation of state in (2+1)-flavor QCD
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• The Return of The Prodigal Goldstone Boson
• Meson screening masses from lattice QCD with two light and the strange quark
• Light baryons below and above the deconfinement transition: medium effects and parity doubling
• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Nucleons and parity doubling across the deconfinement transition
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• Fluctuations and the axial anomaly with three quark flavors
• Scalar susceptibility in QCD and the multiflavor Schwinger model
• On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD
• Indirect observation of an in-medium eta' mass reduction in sqrt(s_{NN})=200 GeV Au+Au collisions
• Thermal rho and sigma mesons from chiral symmetry and unitarity
• Chiral Perturbation Theory, the $1/N_c$ expansion and Regge behaviour determine the structure of the lightest scalar meson
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Scalar susceptibilities and four-quark condensates in the meson gas within Chiral Perturbation Theory
• Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories
• Pseudoscalar susceptibilities and quark condensates: chiral restoration and lattice screening masses
• Chiral Symmetry Restoration and Scalar-Pseudoscalar partners in QCD
• Effects of the anomaly on the two-flavor QCD chiral phase transition
• Patterns and partners for chiral symmetry restoration
• Non-factorization of four-quark condensates at low energies within Chiral Perturbation Theory
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• Remarks on the U(1) axial symmetry and the chiral transition in QCD at finite temperature
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Isospin Breaking and chiral symmetry restoration
• Mesonic and nucleon fluctuation effects at finite baryon density
• Quark pseudoscalar vertex and quark mass function with clover fermions : spontaneous symmetry breaking, OPE, symmetry restoration at small volume
• Chiral properties of hadron correlators in nuclear matter
• Anomaly and a QCD-like phase diagram with massive bosonic baryons

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