Y-system for scattering amplitudes
We compute N = 4 super Yang-Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the po...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1826291706172014592 |
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| author | Alday, L Maldacena, J Sever, A Vieira, P |
| author_facet | Alday, L Maldacena, J Sever, A Vieira, P |
| author_sort | Alday, L |
| collection | OXFORD |
| description | We compute N = 4 super Yang-Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary. We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter. These equations have the form of thermodynamic Bethe ansatz (TBA) equations. The area is the free energy of the TBA system. We consider any number of gluons and in any kinematic configuration. © 2010 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T03:03:27Z |
| format | Journal article |
| id | oxford-uuid:b1ba55b2-4dbc-40d7-8a5b-f470b19cf44f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:03:27Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:b1ba55b2-4dbc-40d7-8a5b-f470b19cf44f2022-03-27T04:06:10ZY-system for scattering amplitudesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b1ba55b2-4dbc-40d7-8a5b-f470b19cf44fEnglishSymplectic Elements at Oxford2010Alday, LMaldacena, JSever, AVieira, PWe compute N = 4 super Yang-Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary. We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter. These equations have the form of thermodynamic Bethe ansatz (TBA) equations. The area is the free energy of the TBA system. We consider any number of gluons and in any kinematic configuration. © 2010 IOP Publishing Ltd. |
| spellingShingle | Alday, L Maldacena, J Sever, A Vieira, P Y-system for scattering amplitudes |
| title | Y-system for scattering amplitudes |
| title_full | Y-system for scattering amplitudes |
| title_fullStr | Y-system for scattering amplitudes |
| title_full_unstemmed | Y-system for scattering amplitudes |
| title_short | Y-system for scattering amplitudes |
| title_sort | y system for scattering amplitudes |
| work_keys_str_mv | AT aldayl ysystemforscatteringamplitudes AT maldacenaj ysystemforscatteringamplitudes AT severa ysystemforscatteringamplitudes AT vieirap ysystemforscatteringamplitudes |