The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on a Wilson loop with charge L. In the large L limit the proble...
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| Autores principales: | , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
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2012
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/96169 https://ri.conicet.gov.ar/11336/75091 https://link.springer.com/article/10.1007%2FJHEP08%282012%29134 |
| Aporte de: |
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I19-R120-10915-96169 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Exactas Hooft and Polyakov loops Scattering amplitudes Wilson Integrable field theories AdS-CFT Correspondence |
| spellingShingle |
Ciencias Exactas Hooft and Polyakov loops Scattering amplitudes Wilson Integrable field theories AdS-CFT Correspondence Correa, Diego Hernán Maldacena, Juan M. Sever, Amit The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| topic_facet |
Ciencias Exactas Hooft and Polyakov loops Scattering amplitudes Wilson Integrable field theories AdS-CFT Correspondence |
| description |
We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on a Wilson loop with charge L. In the large L limit the problem can be solved in terms of a certain boundary reflection matrix. We determine this reflection matrix by using the symmetries and the boundary crossing equation. The cusp is introduced through a relative rotation between the two boundaries. Then the TBA trick of exchanging space and time leads to an exact equation for all values of L. The L = 0 case corresponds to the cusped Wilson loop with no operators inserted. We then derive a slightly simplified integral equation which describes the small angle limit. We solve this equation up to three loops in perturbation theory and match the results that were obtained with more direct approaches. |
| format |
Articulo Articulo |
| author |
Correa, Diego Hernán Maldacena, Juan M. Sever, Amit |
| author_facet |
Correa, Diego Hernán Maldacena, Juan M. Sever, Amit |
| author_sort |
Correa, Diego Hernán |
| title |
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| title_short |
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| title_full |
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| title_fullStr |
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| title_full_unstemmed |
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation |
| title_sort |
quark anti-quark potential and the cusp anomalous dimension from a tba equation |
| publishDate |
2012 |
| url |
http://sedici.unlp.edu.ar/handle/10915/96169 https://ri.conicet.gov.ar/11336/75091 https://link.springer.com/article/10.1007%2FJHEP08%282012%29134 |
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Repositorios |
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