2015/08/31 by Takuya Kanazawa, Naoki Yamamoto · 27 citations
Physics and Astronomy · #Anomaly (physics) #Chiral symmetry #Dirac (video compression format) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Measure (data warehouse) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Simple (philosophy) #Symmetry (geometry) #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep01(2016)141
published in Journal of High Energy Physics 2016(1) (Springer Nature) · 28 pages, 2 figures; v2: Section 2 was substantially rewritten and Section 4 was omitted. published version
openalex publication_date 2016/01/01 · arxiv created 2016/01/29 · arxiv updated 2016/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.