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

Takuya Kanazawa, Naoki Yamamoto

研究成果: Article査読

12 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号141
ページ(範囲)1-28
ページ数28
ジャーナルJournal of High Energy Physics
2016
1
DOI
出版ステータスPublished - 2016 1月 1

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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