Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916149884616704 |
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| author | Kniehl, B. A. Velizhanin, V. N. |
| author_facet | Kniehl, B. A. Velizhanin, V. N. |
| contents | We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two operator for several fixed values of Lorentz spin. This is the first direct diagrammatic calculation of this kind, and we confirm results previously obtained by means of integrability. For N=2 SYM, we obtain the general result for the anomalous dimension at third order of perturbation theory and find the three-loop Cusp anomalous dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05888 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories Kniehl, B. A. Velizhanin, V. N. High Energy Physics - Theory High Energy Physics - Phenomenology We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two operator for several fixed values of Lorentz spin. This is the first direct diagrammatic calculation of this kind, and we confirm results previously obtained by means of integrability. For N=2 SYM, we obtain the general result for the anomalous dimension at third order of perturbation theory and find the three-loop Cusp anomalous dimension. |
| title | Anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.05888 |