Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
| Autor: | Kniehl, Bernd, Velizhanin, V. N. |
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| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Yang-Mills [gauge field theory] 4 [supersymmetry] FOS: Physical sciences Yang-Mills: supersymmetry spin anomalous dimension zeta function High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) supersymmetry [Yang-Mills] supersymmetry: 4 gauge field theory: Yang-Mills Elementary Particles and Fields ddc:530 |
| Zdroj: | Physical review letters 126(6), 061603 (2021). doi:10.1103/PhysRevLett.126.061603 Physical Review Letters |
| DOI: | 10.48550/arxiv.2010.13772 |
| Popis: | Physical review letters 126(6), 061603 (2021). doi:10.1103/PhysRevLett.126.061603 We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in $\mathcal{N}$=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental $��_3$ and $��_5$ parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the $��_5$ part of the universal anomalous dimension, we confirm previous results. Published by APS, College Park, Md. |
| Databáze: | OpenAIRE |
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