Structure constants of planar N = 4 Yang Mills at one loop
We study structure constants of gauge invariant operators in planar N ≤ 4 Yang-Mills at one loop with the motivation of determining features of the string dual of weak coupling Yang-Mills. We derive a simple renormalization group invariant formula characterizing the corrections to structure constant...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1797084906448224256 |
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| author | Alday, L David, JR Gava, E Narain, K |
| author_facet | Alday, L David, JR Gava, E Narain, K |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We study structure constants of gauge invariant operators in planar N ≤ 4 Yang-Mills at one loop with the motivation of determining features of the string dual of weak coupling Yang-Mills. We derive a simple renormalization group invariant formula characterizing the corrections to structure constants of any primary operator in the planar limit. Applying this to the scalar SO(6) sector we find that the one loop corrections to structure constants of gauge invariant operators is determined by the one loop anomalous dimension hamiltonian in this sector. We then evaluate the one loop corrections to structure constants for scalars with arbitrary number of derivatives in a given holomorphic direction. We find that the corrections can be characterized by suitable derivatives on the four point tree function of a massless scalar with quartic coupling. We show that individual diagrams violating conformal invariance can be combined together to restore it using a linear inhomogeneous partial differential equation satisfied by this function. © SISSA 2005. |
| first_indexed | 2024-03-07T02:01:42Z |
| format | Journal article |
| id | oxford-uuid:9d9a9327-9d0e-46f9-9d02-68a2e7db459a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:01:42Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:9d9a9327-9d0e-46f9-9d02-68a2e7db459a2022-03-27T00:44:16ZStructure constants of planar N = 4 Yang Mills at one loopJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9d9a9327-9d0e-46f9-9d02-68a2e7db459aEnglishSymplectic Elements at Oxford2005Alday, LDavid, JRGava, ENarain, KWe study structure constants of gauge invariant operators in planar N ≤ 4 Yang-Mills at one loop with the motivation of determining features of the string dual of weak coupling Yang-Mills. We derive a simple renormalization group invariant formula characterizing the corrections to structure constants of any primary operator in the planar limit. Applying this to the scalar SO(6) sector we find that the one loop corrections to structure constants of gauge invariant operators is determined by the one loop anomalous dimension hamiltonian in this sector. We then evaluate the one loop corrections to structure constants for scalars with arbitrary number of derivatives in a given holomorphic direction. We find that the corrections can be characterized by suitable derivatives on the four point tree function of a massless scalar with quartic coupling. We show that individual diagrams violating conformal invariance can be combined together to restore it using a linear inhomogeneous partial differential equation satisfied by this function. © SISSA 2005. |
| spellingShingle | Alday, L David, JR Gava, E Narain, K Structure constants of planar N = 4 Yang Mills at one loop |
| title | Structure constants of planar N = 4 Yang Mills at one loop |
| title_full | Structure constants of planar N = 4 Yang Mills at one loop |
| title_fullStr | Structure constants of planar N = 4 Yang Mills at one loop |
| title_full_unstemmed | Structure constants of planar N = 4 Yang Mills at one loop |
| title_short | Structure constants of planar N = 4 Yang Mills at one loop |
| title_sort | structure constants of planar n 4 yang mills at one loop |
| work_keys_str_mv | AT aldayl structureconstantsofplanarn4yangmillsatoneloop AT davidjr structureconstantsofplanarn4yangmillsatoneloop AT gavae structureconstantsofplanarn4yangmillsatoneloop AT naraink structureconstantsofplanarn4yangmillsatoneloop |