Extrinsic holographic renormalization for a scalar field
In the context of the holographic correspondence, we introduce a purely extrinsic renormalization prescription, exemplified with the case of a minimally-coupled scalar field in anti-de Sitter (AdS) space. The counterterms depend only on the field and its radial derivatives. This would seem to confli...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003249 |
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| author | Giorgos Anastasiou Ignacio J. Araya Daniel Ávila Alberto Güijosa Sergio Patiño-López |
| author_facet | Giorgos Anastasiou Ignacio J. Araya Daniel Ávila Alberto Güijosa Sergio Patiño-López |
| author_sort | Giorgos Anastasiou |
| collection | DOAJ |
| description | In the context of the holographic correspondence, we introduce a purely extrinsic renormalization prescription, exemplified with the case of a minimally-coupled scalar field in anti-de Sitter (AdS) space. The counterterms depend only on the field and its radial derivatives. This would seem to conflict with the Dirichlet variational principle, but we show that consistency follows from the fact that the asymptotic structure of asymptotically locally AdS spacetimes requires not only the leading, but also all of the subleading non-normalizable modes to be fixed as a boundary condition. Crucially, as seen from a path integral definition of the bulk partition function involved in the standard Gubser-Klevanov-Polyakov-Witten (GKPW) formula, this condition is valid away from the saddle. We find that the extrinsic renormalization prescription is maximally efficient when the scalar field is massless, which is suggestive of a connection with the Kounterterm method for renormalization of pure gravity. |
| format | Article |
| id | doaj-art-cceb8bdf71f341839ef8d9ae0c1c7f37 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-cceb8bdf71f341839ef8d9ae0c1c7f372025-01-10T04:37:48ZengElsevierNuclear Physics B0550-32132025-01-011010116758Extrinsic holographic renormalization for a scalar fieldGiorgos Anastasiou0Ignacio J. Araya1Daniel Ávila2Alberto Güijosa3Sergio Patiño-López4Universidad Adolfo Ibáñez, Facultad de Artes Liberales, Departamento de Ciencias, Av. Diagonal Las Torres 2640, Peñalolen, ChileUniversidad Andres Bello, Departamento de Ciencias Físicas, Facultad de Ciencias Exactas, Sazié 2212, Piso 7, Santiago, ChileDepartamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, CdMx 04510, MexicoDepartamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, CdMx 04510, MexicoDepartamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, CdMx 04510, Mexico; Corresponding author.In the context of the holographic correspondence, we introduce a purely extrinsic renormalization prescription, exemplified with the case of a minimally-coupled scalar field in anti-de Sitter (AdS) space. The counterterms depend only on the field and its radial derivatives. This would seem to conflict with the Dirichlet variational principle, but we show that consistency follows from the fact that the asymptotic structure of asymptotically locally AdS spacetimes requires not only the leading, but also all of the subleading non-normalizable modes to be fixed as a boundary condition. Crucially, as seen from a path integral definition of the bulk partition function involved in the standard Gubser-Klevanov-Polyakov-Witten (GKPW) formula, this condition is valid away from the saddle. We find that the extrinsic renormalization prescription is maximally efficient when the scalar field is massless, which is suggestive of a connection with the Kounterterm method for renormalization of pure gravity.http://www.sciencedirect.com/science/article/pii/S0550321324003249AdS/CFTHolographic renormalizationScalar field |
| spellingShingle | Giorgos Anastasiou Ignacio J. Araya Daniel Ávila Alberto Güijosa Sergio Patiño-López Extrinsic holographic renormalization for a scalar field Nuclear Physics B AdS/CFT Holographic renormalization Scalar field |
| title | Extrinsic holographic renormalization for a scalar field |
| title_full | Extrinsic holographic renormalization for a scalar field |
| title_fullStr | Extrinsic holographic renormalization for a scalar field |
| title_full_unstemmed | Extrinsic holographic renormalization for a scalar field |
| title_short | Extrinsic holographic renormalization for a scalar field |
| title_sort | extrinsic holographic renormalization for a scalar field |
| topic | AdS/CFT Holographic renormalization Scalar field |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003249 |
| work_keys_str_mv | AT giorgosanastasiou extrinsicholographicrenormalizationforascalarfield AT ignaciojaraya extrinsicholographicrenormalizationforascalarfield AT danielavila extrinsicholographicrenormalizationforascalarfield AT albertoguijosa extrinsicholographicrenormalizationforascalarfield AT sergiopatinolopez extrinsicholographicrenormalizationforascalarfield |