Ultraviolet phenomena in AdS self-interacting quantum field theory
Abstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theor...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)183 |
| _version_ | 1818421022183915520 |
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| author | Emil T. Akhmedov Ugo Moschella Fedor K. Popov |
| author_facet | Emil T. Akhmedov Ugo Moschella Fedor K. Popov |
| author_sort | Emil T. Akhmedov |
| collection | DOAJ |
| description | Abstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theories. We also explain why calculations in Euclidean and Lorentzian signatures should differ even at the leading order in non globaly hyperbolic manifolds. |
| first_indexed | 2024-12-14T13:03:45Z |
| format | Article |
| id | doaj.art-a0b8a6a12c7b4c6eae2cccbe7dab51d9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T13:03:45Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a0b8a6a12c7b4c6eae2cccbe7dab51d92022-12-21T23:00:23ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018311910.1007/JHEP03(2018)183Ultraviolet phenomena in AdS self-interacting quantum field theoryEmil T. Akhmedov0Ugo Moschella1Fedor K. Popov2Moscow Institute of Physics and TechnologyDipartimento DiSAT, Università degli Studi dell’InsubriaMoscow Institute of Physics and TechnologyAbstract We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a ϕ 4 field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general and applicable to other AdS field theories. We also explain why calculations in Euclidean and Lorentzian signatures should differ even at the leading order in non globaly hyperbolic manifolds.http://link.springer.com/article/10.1007/JHEP03(2018)183Renormalization GroupRenormalization Regularization and RenormalonsAdS-CFT Correspondence |
| spellingShingle | Emil T. Akhmedov Ugo Moschella Fedor K. Popov Ultraviolet phenomena in AdS self-interacting quantum field theory Journal of High Energy Physics Renormalization Group Renormalization Regularization and Renormalons AdS-CFT Correspondence |
| title | Ultraviolet phenomena in AdS self-interacting quantum field theory |
| title_full | Ultraviolet phenomena in AdS self-interacting quantum field theory |
| title_fullStr | Ultraviolet phenomena in AdS self-interacting quantum field theory |
| title_full_unstemmed | Ultraviolet phenomena in AdS self-interacting quantum field theory |
| title_short | Ultraviolet phenomena in AdS self-interacting quantum field theory |
| title_sort | ultraviolet phenomena in ads self interacting quantum field theory |
| topic | Renormalization Group Renormalization Regularization and Renormalons AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP03(2018)183 |
| work_keys_str_mv | AT emiltakhmedov ultravioletphenomenainadsselfinteractingquantumfieldtheory AT ugomoschella ultravioletphenomenainadsselfinteractingquantumfieldtheory AT fedorkpopov ultravioletphenomenainadsselfinteractingquantumfieldtheory |