UA(1)anomaly at high temperature: The scalar-pseudoscalar splitting in QCD

Gerald V. Dunne, Alex Kovner
2010 Physical Review D  
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 Δ M/M∝ (Λ_QCD/T)^b, where b is the beta function coefficient.
doi:10.1103/physrevd.82.065014 fatcat:jvibiluhwza4loa57kvfypn5ca