On the chiral anomaly and the Yang–Mills gradient flow

There are currently two singularity-free universal expressions for the topological susceptibility in QCD, one based on the Yang–Mills gradient flow and the other on density-chain correlation functions. While the latter link the susceptibility to the anomalous chiral Ward identities, the gradient flo...

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Detalles Bibliográficos
Autor principal: Lüscher, Martin
Lenguaje:eng
Publicado: 2021
Materias:
hep-lat
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2021.136725
http://cds.cern.ch/record/2781475
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author Lüscher, Martin
author_facet Lüscher, Martin
author_sort Lüscher, Martin
collection CERN
description There are currently two singularity-free universal expressions for the topological susceptibility in QCD, one based on the Yang–Mills gradient flow and the other on density-chain correlation functions. While the latter link the susceptibility to the anomalous chiral Ward identities, the gradient flow permits the emergence of the topological sectors in lattice QCD to be understood. Here the two expressions are shown to coincide in the continuum theory, for any number of quark flavours in the range where the theory is asymptotically free.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
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spelling cern-27814752023-10-04T07:34:18Zdoi:10.1016/j.physletb.2021.136725http://cds.cern.ch/record/2781475engLüscher, MartinOn the chiral anomaly and the Yang–Mills gradient flowhep-latParticle Physics - LatticeThere are currently two singularity-free universal expressions for the topological susceptibility in QCD, one based on the Yang–Mills gradient flow and the other on density-chain correlation functions. While the latter link the susceptibility to the anomalous chiral Ward identities, the gradient flow permits the emergence of the topological sectors in lattice QCD to be understood. Here the two expressions are shown to coincide in the continuum theory, for any number of quark flavours in the range where the theory is asymptotically free.There are currently two singularity-free universal expressions for the topological susceptibility in QCD, one based on the Yang-Mills gradient flow and the other on density-chain correlation functions. While the latter link the susceptibility to the anomalous chiral Ward identities, the gradient flow permits the emergence of the topological sectors in lattice QCD to be understood. Here the two expressions are shown to coincide in the continuum theory, for any number of quark flavours in the range where the theory is asymptotically free.arXiv:2109.07965CERN-TH-2021-132oai:cds.cern.ch:27814752021-09-16
spellingShingle hep-lat
Particle Physics - Lattice
Lüscher, Martin
On the chiral anomaly and the Yang–Mills gradient flow
title On the chiral anomaly and the Yang–Mills gradient flow
title_full On the chiral anomaly and the Yang–Mills gradient flow
title_fullStr On the chiral anomaly and the Yang–Mills gradient flow
title_full_unstemmed On the chiral anomaly and the Yang–Mills gradient flow
title_short On the chiral anomaly and the Yang–Mills gradient flow
title_sort on the chiral anomaly and the yang–mills gradient flow
topic hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.1016/j.physletb.2021.136725
http://cds.cern.ch/record/2781475
work_keys_str_mv AT luschermartin onthechiralanomalyandtheyangmillsgradientflow

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