Can axial U(1) anomaly disappear at high temperature?

Abstract

In our recent study of two-flavor lattice QCD using chiral fermions, we find strong suppression of axial U(1) anomaly above the critical temperature of chiral phase transition. Our simulation data also indicate suppression of topological susceptibility. In this talk, we present both of our theoretical and numerical evidence for disappearance of axial U(1) anomaly, emphasizing the importance of controlling lattice chiral symmetry violation, which is enhanced at high temperature.

11 pages, 5 figures, talk given at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain, references added

References in corpus (6)

• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• Lattice QCD for Cosmology
• On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• The topological properties of QCD at high temperature: problems and perspectives
• Nature of chiral phase transition in two-flavor QCD

Cited by in corpus (9)

• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• High-Temperature QCD: theory overview
• Anomaly matching in QCD thermal phase transition
• New developments in lattice QCD on equilibrium physics and phase diagram
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Temperature Dependence of the Axion Mass in a Scenario Where the Restoration of Chiral Symmetry Drives the Restoration of the $U_A(1)$ Symmetry
• Low lying eigenmodes and meson propagator symmetries
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions
• Aspects of model dependence of eta'-eta complex treated by going beyond the isospin limit