On instanton effects in the operator product expansion
We revisit the computation of instanton effects to various correlation functions in N=4N=4 SYM and clarify a controversy existing in the literature regarding their consistency with the OPE and conformal symmetry. To check these properties, we examine the conformal partial wave decomposition of fou...
| Հիմնական հեղինակներ: | , |
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| Ձևաչափ: | Journal article |
| Հրապարակվել է: |
Springer Berlin Heidelberg
2017
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| _version_ | 1826300666776125440 |
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| author | Alday, L Korchemsky, G |
| author_facet | Alday, L Korchemsky, G |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We revisit the computation of instanton effects to various correlation functions in N=4N=4 SYM and clarify a controversy existing in the literature regarding their consistency with the OPE and conformal symmetry. To check these properties, we examine the conformal partial wave decomposition of four-point correlators involving combinations of half-BPS and Konishi operators and isolate the contribution from the conformal primary scalar operators of twist four. We demonstrate that the leading instanton correction to this contribution is indeed consistent with conformal symmetry and compute the corresponding corrections to the OPE coefficients and the scaling dimensions of such twist-four operators. Our analysis justifies the regularization procedure used to compute ultraviolet divergent instanton contribution to correlation functions involving unprotected operators. |
| first_indexed | 2024-03-07T05:20:38Z |
| format | Journal article |
| id | oxford-uuid:dec5f31f-1120-4ff8-9c41-677a624e753b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:20:38Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:dec5f31f-1120-4ff8-9c41-677a624e753b2022-03-27T09:34:36ZOn instanton effects in the operator product expansionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dec5f31f-1120-4ff8-9c41-677a624e753bSymplectic Elements at OxfordSpringer Berlin Heidelberg2017Alday, LKorchemsky, GWe revisit the computation of instanton effects to various correlation functions in N=4N=4 SYM and clarify a controversy existing in the literature regarding their consistency with the OPE and conformal symmetry. To check these properties, we examine the conformal partial wave decomposition of four-point correlators involving combinations of half-BPS and Konishi operators and isolate the contribution from the conformal primary scalar operators of twist four. We demonstrate that the leading instanton correction to this contribution is indeed consistent with conformal symmetry and compute the corresponding corrections to the OPE coefficients and the scaling dimensions of such twist-four operators. Our analysis justifies the regularization procedure used to compute ultraviolet divergent instanton contribution to correlation functions involving unprotected operators. |
| spellingShingle | Alday, L Korchemsky, G On instanton effects in the operator product expansion |
| title | On instanton effects in the operator product expansion |
| title_full | On instanton effects in the operator product expansion |
| title_fullStr | On instanton effects in the operator product expansion |
| title_full_unstemmed | On instanton effects in the operator product expansion |
| title_short | On instanton effects in the operator product expansion |
| title_sort | on instanton effects in the operator product expansion |
| work_keys_str_mv | AT aldayl oninstantoneffectsintheoperatorproductexpansion AT korchemskyg oninstantoneffectsintheoperatorproductexpansion |