Nonminimal gradient flows in QCD-like theories
Abstract The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions for the different gradient flow setups are used in t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2021)204 |
| _version_ | 1818914702920515584 |
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| author | Marco Boers |
| author_facet | Marco Boers |
| author_sort | Marco Boers |
| collection | DOAJ |
| description | Abstract The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions for the different gradient flow setups are used in the perturbative computations of the vacuum expectation value of the Yang-Mills Lagrangian density and the field renormalization factor of the evolved fermions up to next-to-leading order in the coupling. We find a one-parameter family of flow systems for which there exists a renormalization scheme in which the evolved fermion anomalous dimension vanishes to all orders in perturbation theory. The fermion number dependence of different flows is studied and applications to lattice studies are anticipated. |
| first_indexed | 2024-12-19T23:50:35Z |
| format | Article |
| id | doaj.art-d7f1af4ef2ec4727918a8b194ff629fb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T23:50:35Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d7f1af4ef2ec4727918a8b194ff629fb2022-12-21T20:01:10ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113410.1007/JHEP01(2021)204Nonminimal gradient flows in QCD-like theoriesMarco Boers0Van Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions for the different gradient flow setups are used in the perturbative computations of the vacuum expectation value of the Yang-Mills Lagrangian density and the field renormalization factor of the evolved fermions up to next-to-leading order in the coupling. We find a one-parameter family of flow systems for which there exists a renormalization scheme in which the evolved fermion anomalous dimension vanishes to all orders in perturbation theory. The fermion number dependence of different flows is studied and applications to lattice studies are anticipated.https://doi.org/10.1007/JHEP01(2021)204Lattice QCDPerturbative QCDRenormalization Group |
| spellingShingle | Marco Boers Nonminimal gradient flows in QCD-like theories Journal of High Energy Physics Lattice QCD Perturbative QCD Renormalization Group |
| title | Nonminimal gradient flows in QCD-like theories |
| title_full | Nonminimal gradient flows in QCD-like theories |
| title_fullStr | Nonminimal gradient flows in QCD-like theories |
| title_full_unstemmed | Nonminimal gradient flows in QCD-like theories |
| title_short | Nonminimal gradient flows in QCD-like theories |
| title_sort | nonminimal gradient flows in qcd like theories |
| topic | Lattice QCD Perturbative QCD Renormalization Group |
| url | https://doi.org/10.1007/JHEP01(2021)204 |
| work_keys_str_mv | AT marcoboers nonminimalgradientflowsinqcdliketheories |