Abstract: We derive some exact results concerning the anomalous U(1)A symmetry in the chirally symmetric phase of QCD at high temperature. We discuss the importance of topology and finite-volume effects on the U(1)A symmetry violation characterized by the difference of chiral susceptibilities. In particular, we present a reliable method to measure the anomaly strength in lattice simulations with fixed topology. We also derive new spectral sum rules and a novel Banks-Casher-type relation. Through our spectral analysis we arrive at a simple alternative proof of the Aoki-Fukaya-Taniguchi “theorem” on the effective restoration of the U(1)A symmetry at high temperature.
- Anomalies in Field and String Theories
- Effective field theories
- Lattice QCD
- Quark-Gluon Plasma
ASJC Scopus subject areas
- Nuclear and High Energy Physics