U(1) axial symmetry and Dirac spectra in QCD at high temperature

作者：Kanazawa Takuya^*; Yamamoto Naoki^*

来源：The Journal of High Energy Physics, 2016, 2016(1): 141.

DOI：10.1007/JHEP01(2016)141

• Anomalies in Field and String Theories
• Lattice QCD
• Quark-Gluon Plasma
• Effective field theories

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.

• 出版日期2016-1-25