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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Elsevier
2021
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oai:doaj.org-article:5744fc6d881e4cac97bb25179f7098ff2021-12-04T04:32:26ZOn the chiral anomaly and the Yang–Mills gradient flow0370-269310.1016/j.physletb.2021.136725https://doaj.org/article/5744fc6d881e4cac97bb25179f7098ff2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006651https://doaj.org/toc/0370-2693There 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.Martin LüscherElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136725- (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
Physics QC1-999 |
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Physics QC1-999 Martin Lüscher On the chiral anomaly and the Yang–Mills gradient flow |
| 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. |
| format |
article |
| author |
Martin Lüscher |
| author_facet |
Martin Lüscher |
| author_sort |
Martin Lüscher |
| title |
On the chiral anomaly and the Yang–Mills gradient flow |
| title_short |
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_sort |
on the chiral anomaly and the yang–mills gradient flow |
| publisher |
Elsevier |
| publishDate |
2021 |
| url |
https://doaj.org/article/5744fc6d881e4cac97bb25179f7098ff |
| work_keys_str_mv |
AT martinluscher onthechiralanomalyandtheyangmillsgradientflow |
| _version_ |
1718373031348273152 |