Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED
Abstract We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored vi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2023)202 |
| _version_ | 1797795889588207616 |
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| author | Hermès Bélusca-Maïto |
| author_facet | Hermès Bélusca-Maïto |
| author_sort | Hermès Bélusca-Maïto |
| collection | DOAJ |
| description | Abstract We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We compare it with the more standard multiplicative renormalisation approach, which application would be more cumbersome in this setting. Both procedures are applied and compared on the example of a massless chiral right-handed QED model, and beta-function and anomalous dimensions are evaluated up to two-loop orders. |
| first_indexed | 2024-03-13T03:24:51Z |
| format | Article |
| id | doaj.art-04462f8cf9ad40a2b1dad6b31ac553f5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:24:51Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-04462f8cf9ad40a2b1dad6b31ac553f52023-06-25T11:05:20ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023314710.1007/JHEP03(2023)202Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QEDHermès Bélusca-Maïto0Department of Physics, University of ZagrebAbstract We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We compare it with the more standard multiplicative renormalisation approach, which application would be more cumbersome in this setting. Both procedures are applied and compared on the example of a massless chiral right-handed QED model, and beta-function and anomalous dimensions are evaluated up to two-loop orders.https://doi.org/10.1007/JHEP03(2023)202Anomalies in Field and String TheoriesBRST QuantizationRenormalization and RegularizationRenormalization Group |
| spellingShingle | Hermès Bélusca-Maïto Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED Journal of High Energy Physics Anomalies in Field and String Theories BRST Quantization Renormalization and Regularization Renormalization Group |
| title | Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED |
| title_full | Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED |
| title_fullStr | Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED |
| title_full_unstemmed | Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED |
| title_short | Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED |
| title_sort | renormalisation group equations for brst restored chiral theory in dimensional renormalisation application to two loop chiral qed |
| topic | Anomalies in Field and String Theories BRST Quantization Renormalization and Regularization Renormalization Group |
| url | https://doi.org/10.1007/JHEP03(2023)202 |
| work_keys_str_mv | AT hermesbeluscamaito renormalisationgroupequationsforbrstrestoredchiraltheoryindimensionalrenormalisationapplicationtotwoloopchiralqed |