One-loop non-planar anomalous dimensions in super Yang-Mills theory
Abstract We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)124 |
| _version_ | 1818980782393262080 |
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| author | Tristan McLoughlin Raul Pereira Anne Spiering |
| author_facet | Tristan McLoughlin Raul Pereira Anne Spiering |
| author_sort | Tristan McLoughlin |
| collection | DOAJ |
| description | Abstract We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading 1/N 2 corrections to operator dimensions and as an example compute the large R-charge limit for two-excitation states through subleading order in the R-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite N to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite N. |
| first_indexed | 2024-12-20T17:20:54Z |
| format | Article |
| id | doaj.art-b8bc5e1a336d460ab007a7a61d89d91f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T17:20:54Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b8bc5e1a336d460ab007a7a61d89d91f2022-12-21T19:31:50ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201015010.1007/JHEP10(2020)124One-loop non-planar anomalous dimensions in super Yang-Mills theoryTristan McLoughlin0Raul Pereira1Anne Spiering2School of Mathematics & Hamilton Mathematics Institute, Trinity College DublinSchool of Mathematics & Hamilton Mathematics Institute, Trinity College DublinSchool of Mathematics & Hamilton Mathematics Institute, Trinity College DublinAbstract We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading 1/N 2 corrections to operator dimensions and as an example compute the large R-charge limit for two-excitation states through subleading order in the R-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite N to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite N.http://link.springer.com/article/10.1007/JHEP10(2020)1241/N ExpansionIntegrable Field TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Tristan McLoughlin Raul Pereira Anne Spiering One-loop non-planar anomalous dimensions in super Yang-Mills theory Journal of High Energy Physics 1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
| title | One-loop non-planar anomalous dimensions in super Yang-Mills theory |
| title_full | One-loop non-planar anomalous dimensions in super Yang-Mills theory |
| title_fullStr | One-loop non-planar anomalous dimensions in super Yang-Mills theory |
| title_full_unstemmed | One-loop non-planar anomalous dimensions in super Yang-Mills theory |
| title_short | One-loop non-planar anomalous dimensions in super Yang-Mills theory |
| title_sort | one loop non planar anomalous dimensions in super yang mills theory |
| topic | 1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2020)124 |
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