Exploring confinement in Anti-de Sitter space
Abstract We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this implies a deconfinement-confinement transition as the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)218 |
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| author | Riccardo Ciccone Fabiana De Cesare Lorenzo Di Pietro Marco Serone |
| author_facet | Riccardo Ciccone Fabiana De Cesare Lorenzo Di Pietro Marco Serone |
| author_sort | Riccardo Ciccone |
| collection | DOAJ |
| description | Abstract We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this implies a deconfinement-confinement transition as the radius is increased. We gather hints on the nature of this transition using perturbation theory. We compute the anomalous dimensions of the lightest scalar operators in the boundary theory, which are negative for the singlet and positive for non-trivial representations. We also compute the correction to the coefficient C J and we estimate that the singlet operator reaches marginality before the value of the coupling at which C J = 0. These results favor the scenario of merger and annihilation as the most promising candidate for the transition. For the Neumann boundary condition, the lightest scalar operator is found to have a positive anomalous dimension, in agreement with the idea that this boundary condition extrapolates smoothly to flat space. The perturbative calculations are made possible by a drastic simplification of the gauge field propagator in Fried-Yennie gauge. We also derive a general result for the leading-order anomalous dimension of the displacement operator for a generic perturbation in Anti-de Sitter, showing that it is related to the beta function of bulk couplings. |
| format | Article |
| id | doaj-art-d9f1de685ab74d4abe77cdcfcbcb71ef |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d9f1de685ab74d4abe77cdcfcbcb71ef2025-01-05T12:05:45ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214410.1007/JHEP12(2024)218Exploring confinement in Anti-de Sitter spaceRiccardo Ciccone0Fabiana De Cesare1Lorenzo Di Pietro2Marco Serone3Department of Physics and Haifa Research Center for Theoretical Physics and Astrophysics, University of HaifaINFN, Sezione di TriesteDipartimento di Fisica, Università di TriesteINFN, Sezione di TriesteAbstract We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this implies a deconfinement-confinement transition as the radius is increased. We gather hints on the nature of this transition using perturbation theory. We compute the anomalous dimensions of the lightest scalar operators in the boundary theory, which are negative for the singlet and positive for non-trivial representations. We also compute the correction to the coefficient C J and we estimate that the singlet operator reaches marginality before the value of the coupling at which C J = 0. These results favor the scenario of merger and annihilation as the most promising candidate for the transition. For the Neumann boundary condition, the lightest scalar operator is found to have a positive anomalous dimension, in agreement with the idea that this boundary condition extrapolates smoothly to flat space. The perturbative calculations are made possible by a drastic simplification of the gauge field propagator in Fried-Yennie gauge. We also derive a general result for the leading-order anomalous dimension of the displacement operator for a generic perturbation in Anti-de Sitter, showing that it is related to the beta function of bulk couplings.https://doi.org/10.1007/JHEP12(2024)218Scale and Conformal SymmetriesConfinement |
| spellingShingle | Riccardo Ciccone Fabiana De Cesare Lorenzo Di Pietro Marco Serone Exploring confinement in Anti-de Sitter space Journal of High Energy Physics Scale and Conformal Symmetries Confinement |
| title | Exploring confinement in Anti-de Sitter space |
| title_full | Exploring confinement in Anti-de Sitter space |
| title_fullStr | Exploring confinement in Anti-de Sitter space |
| title_full_unstemmed | Exploring confinement in Anti-de Sitter space |
| title_short | Exploring confinement in Anti-de Sitter space |
| title_sort | exploring confinement in anti de sitter space |
| topic | Scale and Conformal Symmetries Confinement |
| url | https://doi.org/10.1007/JHEP12(2024)218 |
| work_keys_str_mv | AT riccardociccone exploringconfinementinantidesitterspace AT fabianadecesare exploringconfinementinantidesitterspace AT lorenzodipietro exploringconfinementinantidesitterspace AT marcoserone exploringconfinementinantidesitterspace |