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

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

2010-04-07

arxiv.org/abs/1004.1075v1

Phys.Rev.D82:065014,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pp

Scientific paper

10.1103/PhysRevD.82.065014

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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