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

Takuya Kanazawa; Naoki Yamamoto

doi:10.1007/JHEP01(2016)141

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

Takuya Kanazawa, Naoki Yamamoto

Department of Physics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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 language	English
Article number	141
Pages (from-to)	1-28
Number of pages	28
Journal	Journal of High Energy Physics
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2016)141
Publication status	Published - 2016 Jan 1

Keywords

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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10.1007/JHEP01(2016)141

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title = "U (1) axial symmetry and Dirac spectra in QCD at high temperature",

abstract = "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.",

keywords = "Anomalies in Field and String Theories, Effective field theories, Lattice QCD, Quark-Gluon Plasma",

author = "Takuya Kanazawa and Naoki Yamamoto",

note = "Funding Information: The authors thank S. Aoki, M. Buchoff, N. Christ, G. Cossu, K. Fukaya, M. Laine, S. Sharma and Y. Taniguchi for useful discussions and correspondences. This work was supported, in part, by the RIKEN iTHES Project, JSPS KAKENHI Grants Number 26887032, and MEXT-Supported Program for the Strategic Research Foundation at Private Universities, \Topological Science (Grant Number S1511006). Publisher Copyright: {\textcopyright} 2016, The Author(s).",

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doi = "10.1007/JHEP01(2016)141",

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AU - Kanazawa, Takuya

AU - Yamamoto, Naoki

N1 - Funding Information: The authors thank S. Aoki, M. Buchoff, N. Christ, G. Cossu, K. Fukaya, M. Laine, S. Sharma and Y. Taniguchi for useful discussions and correspondences. This work was supported, in part, by the RIKEN iTHES Project, JSPS KAKENHI Grants Number 26887032, and MEXT-Supported Program for the Strategic Research Foundation at Private Universities, \Topological Science (Grant Number S1511006). Publisher Copyright: © 2016, The Author(s).

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

KW - Anomalies in Field and String Theories

KW - Effective field theories

KW - Lattice QCD

KW - Quark-Gluon Plasma

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

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ER -

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

Abstract

Keywords

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