Universal 1-loop divergences for integrable sigma models
Abstract We present a simple, new method for the 1-loop renormalization of integrable σ-models. By treating equations of motion and Bianchi identities on an equal footing, we derive ‘universal’ formulae for the 1-loop on-shell divergences, generalizing case-by-case computations in the literature. Gi...
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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)003 |
| _version_ | 1797795942371426304 |
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| author | Nat Levine |
| author_facet | Nat Levine |
| author_sort | Nat Levine |
| collection | DOAJ |
| description | Abstract We present a simple, new method for the 1-loop renormalization of integrable σ-models. By treating equations of motion and Bianchi identities on an equal footing, we derive ‘universal’ formulae for the 1-loop on-shell divergences, generalizing case-by-case computations in the literature. Given a choice of poles for the classical Lax connection, the divergences take a theory-independent form in terms of the Lax currents (the residues of the poles), assuming a ‘completeness’ condition on the zero-curvature equations. We compute these divergences for a large class of theories with simple poles in the Lax connection. We also show that ℤ T coset models of ‘pure-spinor’ type and their recently constructed η- and λ-deformations are 1-loop renormalizable, and 1-loop scale-invariant when the Killing form vanishes. |
| first_indexed | 2024-03-13T03:25:39Z |
| format | Article |
| id | doaj.art-d820897d22b343d0bde5f57f6f991fc4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:39Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d820897d22b343d0bde5f57f6f991fc42023-06-25T11:05:09ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023313110.1007/JHEP03(2023)003Universal 1-loop divergences for integrable sigma modelsNat Levine0Laboratoire de Physique de l’École Normale Supérieure, Université PSL, CNRS, Sorbonne Université, Université Paris CitéAbstract We present a simple, new method for the 1-loop renormalization of integrable σ-models. By treating equations of motion and Bianchi identities on an equal footing, we derive ‘universal’ formulae for the 1-loop on-shell divergences, generalizing case-by-case computations in the literature. Given a choice of poles for the classical Lax connection, the divergences take a theory-independent form in terms of the Lax currents (the residues of the poles), assuming a ‘completeness’ condition on the zero-curvature equations. We compute these divergences for a large class of theories with simple poles in the Lax connection. We also show that ℤ T coset models of ‘pure-spinor’ type and their recently constructed η- and λ-deformations are 1-loop renormalizable, and 1-loop scale-invariant when the Killing form vanishes.https://doi.org/10.1007/JHEP03(2023)003Sigma ModelsIntegrable Field TheoriesRenormalization Group |
| spellingShingle | Nat Levine Universal 1-loop divergences for integrable sigma models Journal of High Energy Physics Sigma Models Integrable Field Theories Renormalization Group |
| title | Universal 1-loop divergences for integrable sigma models |
| title_full | Universal 1-loop divergences for integrable sigma models |
| title_fullStr | Universal 1-loop divergences for integrable sigma models |
| title_full_unstemmed | Universal 1-loop divergences for integrable sigma models |
| title_short | Universal 1-loop divergences for integrable sigma models |
| title_sort | universal 1 loop divergences for integrable sigma models |
| topic | Sigma Models Integrable Field Theories Renormalization Group |
| url | https://doi.org/10.1007/JHEP03(2023)003 |
| work_keys_str_mv | AT natlevine universal1loopdivergencesforintegrablesigmamodels |