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

A bstract 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...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2016; no. 1; pp. 1 - 28
Main Authors Kanazawa, Takuya, Yamamoto, Naoki
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2016
Subjects
Classical and Quantum Gravitation
Elementary Particles
Lattices
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Simulation
Spectra
String Theory
Sum rules
Symmetry
Theorem proving
Topology
Quark-Gluon Plasma
Lattice QCD
Anomalies in Field and String Theories
Effective field theories
Online AccessGet full text

Cover

More Information
Summary:A bstract 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2016)141