Perturbative four-point functions from the analytic conformal bootstrap
We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calcula...
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| Format: | Journal article |
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Springer Berlin Heidelberg
2018
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| _version_ | 1826297401325912064 |
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| author | Henriksson, J Lukowski, T |
| author_facet | Henriksson, J Lukowski, T |
| author_sort | Henriksson, J |
| collection | OXFORD |
| description | We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calculations. The method relies only on symmetries of the model. In particular, it does not require introducing any regularisation and it is free from the redundancies usually associated with the Feynman approach. By supplementing the general solution with known data for a small number of operators, we recover explicit forms of one-loop correlation functions of four Konishi operators as well as of four half-BPS operators $\mathcal{O}_{20'}$ in $\mathcal{N}=4$ super Yang-Mills. |
| first_indexed | 2024-03-07T04:31:03Z |
| format | Journal article |
| id | oxford-uuid:ce567e9a-752f-4b01-905a-6e41eb297a1a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:31:03Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:ce567e9a-752f-4b01-905a-6e41eb297a1a2022-03-27T07:34:55ZPerturbative four-point functions from the analytic conformal bootstrapJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ce567e9a-752f-4b01-905a-6e41eb297a1aSymplectic Elements at OxfordSpringer Berlin Heidelberg2018Henriksson, JLukowski, TWe apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calculations. The method relies only on symmetries of the model. In particular, it does not require introducing any regularisation and it is free from the redundancies usually associated with the Feynman approach. By supplementing the general solution with known data for a small number of operators, we recover explicit forms of one-loop correlation functions of four Konishi operators as well as of four half-BPS operators $\mathcal{O}_{20'}$ in $\mathcal{N}=4$ super Yang-Mills. |
| spellingShingle | Henriksson, J Lukowski, T Perturbative four-point functions from the analytic conformal bootstrap |
| title | Perturbative four-point functions from the analytic conformal bootstrap |
| title_full | Perturbative four-point functions from the analytic conformal bootstrap |
| title_fullStr | Perturbative four-point functions from the analytic conformal bootstrap |
| title_full_unstemmed | Perturbative four-point functions from the analytic conformal bootstrap |
| title_short | Perturbative four-point functions from the analytic conformal bootstrap |
| title_sort | perturbative four point functions from the analytic conformal bootstrap |
| work_keys_str_mv | AT henrikssonj perturbativefourpointfunctionsfromtheanalyticconformalbootstrap AT lukowskit perturbativefourpointfunctionsfromtheanalyticconformalbootstrap |