U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD

Abstract

We estimate the splitting between the spatial correlation lengths in the scalar and pseudoscalar channels in QCD at high temperature. The splitting is due to the contribution of the instanton/anti-instanton chains in the thermal ensemble, even though instanton contributions to thermodynamic quantities are suppressed. The splitting vanishes at asymptotically high temperatures as $\Delta M/M\propto ({\Lambda }_{QCD}/T{)}^b$, where $b$ is the beta function coefficient.

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Cited by in corpus (5)

• Meson screening masses from lattice QCD with two light and the strange quark
• Fluctuations and the axial anomaly with three quark flavors
• Quasi-instantons in QCD with chiral symmetry restoration
• New Insight about the Effective Restoration of U_A(1) Symmetry
• 2+1 d Georgi Glashow Model Near Critical Temperature