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

Takuya Kanazawa, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


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.

Original languageEnglish
Article number141
Pages (from-to)1-28
Number of pages28
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2016 Jan 1


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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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