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Renormalization of the topological charge density in QCD with dimensional regularization
To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analys...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1140/epjc/s10052-021-09296-1 http://cds.cern.ch/record/2759587 |
| _version_ | 1780970233052266496 |
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| author | Lüscher, Martin Weisz, Peter |
| author_facet | Lüscher, Martin Weisz, Peter |
| author_sort | Lüscher, Martin |
| collection | CERN |
| description | To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora–Zumino chain of descent equations. |
| id | cern-2759587 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2021 |
| record_format | invenio |
| spelling | cern-27595872023-01-31T08:48:32Zdoi:10.1140/epjc/s10052-021-09296-1http://cds.cern.ch/record/2759587engLüscher, MartinWeisz, PeterRenormalization of the topological charge density in QCD with dimensional regularizationhep-latParticle Physics - Latticehep-phParticle Physics - PhenomenologyTo all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora–Zumino chain of descent equations.To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora--Zumino chain of descent equations.arXiv:2103.15440CERN-TH-2021-041MPP-2021-38oai:cds.cern.ch:27595872021-03-29 |
| spellingShingle | hep-lat Particle Physics - Lattice hep-ph Particle Physics - Phenomenology Lüscher, Martin Weisz, Peter Renormalization of the topological charge density in QCD with dimensional regularization |
| title | Renormalization of the topological charge density in QCD with dimensional regularization |
| title_full | Renormalization of the topological charge density in QCD with dimensional regularization |
| title_fullStr | Renormalization of the topological charge density in QCD with dimensional regularization |
| title_full_unstemmed | Renormalization of the topological charge density in QCD with dimensional regularization |
| title_short | Renormalization of the topological charge density in QCD with dimensional regularization |
| title_sort | renormalization of the topological charge density in qcd with dimensional regularization |
| topic | hep-lat Particle Physics - Lattice hep-ph Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1140/epjc/s10052-021-09296-1 http://cds.cern.ch/record/2759587 |
| work_keys_str_mv | AT luschermartin renormalizationofthetopologicalchargedensityinqcdwithdimensionalregularization AT weiszpeter renormalizationofthetopologicalchargedensityinqcdwithdimensionalregularization |