An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
Abstract Form factors in planar 𝒩 = 4 super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The coefficients of this expansion are decomposed in terms of several...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)128 |
| _version_ | 1811335518127915008 |
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| author | Amit Sever Alexander G. Tumanov Matthias Wilhelm |
| author_facet | Amit Sever Alexander G. Tumanov Matthias Wilhelm |
| author_sort | Amit Sever |
| collection | DOAJ |
| description | Abstract Form factors in planar 𝒩 = 4 super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The coefficients of this expansion are decomposed in terms of several elementary building blocks and can be determined at finite ’t Hooft coupling using bootstrap and integrability techniques. Some of these building blocks are known from an analogous expansion of scattering amplitudes. In addition to these, the expansion for form factors includes a new type of building block, called form factor transitions, that encode information about the local operator. In the present paper, we consider the form factor of the chiral part of the stress-tensor supermultiplet. We bootstrap the corresponding form factor transitions of two-particle flux-tube states and use them to predict the leading term in the collinear expansion at finite coupling. The transitions we find can be expressed in terms of a quantity that previously appeared in a seemingly unrelated context, namely the octagon kernel. Lastly, we use a factorized ansatz to determine the multi-particle form factor transitions at finite coupling, which we use to predict the first subleading term in the collinear expansion. A perfect match is found between our predictions and the available perturbative data. |
| first_indexed | 2024-04-13T17:25:14Z |
| format | Article |
| id | doaj.art-bf2a1685ad8c4e18b52121c1e7cafdd5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T17:25:14Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj.art-bf2a1685ad8c4e18b52121c1e7cafdd52022-12-22T02:37:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022313510.1007/JHEP03(2022)128An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle ContributionsAmit Sever0Alexander G. Tumanov1Matthias Wilhelm2School of Physics and Astronomy, Tel Aviv UniversityMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutNiels Bohr Institute, University of CopenhagenAbstract Form factors in planar 𝒩 = 4 super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The coefficients of this expansion are decomposed in terms of several elementary building blocks and can be determined at finite ’t Hooft coupling using bootstrap and integrability techniques. Some of these building blocks are known from an analogous expansion of scattering amplitudes. In addition to these, the expansion for form factors includes a new type of building block, called form factor transitions, that encode information about the local operator. In the present paper, we consider the form factor of the chiral part of the stress-tensor supermultiplet. We bootstrap the corresponding form factor transitions of two-particle flux-tube states and use them to predict the leading term in the collinear expansion at finite coupling. The transitions we find can be expressed in terms of a quantity that previously appeared in a seemingly unrelated context, namely the octagon kernel. Lastly, we use a factorized ansatz to determine the multi-particle form factor transitions at finite coupling, which we use to predict the first subleading term in the collinear expansion. A perfect match is found between our predictions and the available perturbative data.https://doi.org/10.1007/JHEP03(2022)1281/N ExpansionAdS-CFT CorrespondenceIntegrable Field TheoriesScattering Amplitudes |
| spellingShingle | Amit Sever Alexander G. Tumanov Matthias Wilhelm An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Integrable Field Theories Scattering Amplitudes |
| title | An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions |
| title_full | An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions |
| title_fullStr | An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions |
| title_full_unstemmed | An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions |
| title_short | An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions |
| title_sort | operator product expansion for form factors iii finite coupling and multi particle contributions |
| topic | 1/N Expansion AdS-CFT Correspondence Integrable Field Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP03(2022)128 |
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