The axial anomaly in QCD at finite temperature

Abstract

We study flavor mixing and the axial anomaly in QCD at zero and finite temperature. Using the instanton liquid model, we show that the strength of the anomaly is essentially unchanged near the critical temperature for chiral symmetry restoration. We demonstrate that nevertheless, chiral symmetry restoration has important consequences for the eta and eta prime. In particular, the strange and non-strange components of the eta unmix near T_c. The anomaly does not affect the strange eta, so we expect a light purely strange pseudoscalar meson near the phase transition.

11 pages, 5 figures

References in corpus (5)

• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• The instanton liquid in QCD at zero and finite temperature
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD
• Hadronic Correlation Functions in the Interacting Instanton Liquid

Cited by in corpus (18)

• Instantons in QCD
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• Properties of Hadrons in the Nuclear Medium
• Topology, fermionic zero modes and flavor singlet correlators in finite temperature QCD
• DCC dynamics with the SU(3) linear sigma model
• Instantons and the Chiral Phase Transition at non-zero Baryon Density
• Influence of the U(1)_A Anomaly on the QCD Phase Transition
• Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
• Correlator of Topological Charge Densities in Instanton Model in QCD
• Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Production of ${\eta }^{\prime }$ from Thermal Gluon Fusion
• Large N_c, chiral approach to M_eta' at finite temperature
• $U_A(1)$ symmetry restoration at high baryon density
• Domain Wall in the Linear Sigma Model
• Temperature Dependence of ηand η^{\prime} Masses
• Study of some local and global $U(1)$ axial condensates in QCD at finite temperature
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature