Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in $N$ = 4 SYM theory
| Autor: | Kniehl, Bernd, Velizhanin, V. N. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Yang-Mills [gauge field theory] small-x 4 [supersymmetry] FOS: Physical sciences QC770-798 Yang-Mills: supersymmetry twist [operator] spin anomalous dimension analytic properties High Energy Physics - Phenomenology Automatic Keywords High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) supersymmetry [Yang-Mills] Nuclear and particle physics. Atomic energy. Radioactivity supersymmetry: 4 gauge field theory: Yang-Mills ddc:530 operator: twist Lorentz |
| Zdroj: | Nuclear physics / B 968, 115429 (1-17) (2021). doi:10.1016/j.nuclphysb.2021.115429 Nuclear Physics B, Vol 968, Iss, Pp 115429-(2021) |
| DOI: | 10.3204/pubdb-2021-02523 |
| Popis: | Nuclear physics / B 968, 115429 (1-17) (2021). doi:10.1016/j.nuclphysb.2021.115429 We compute the non-planar contribution to the universal anomalous dimension of twist-two operators in $N$=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin eighteen. Exploiting the results of this and our previous calculations along with recent analytic results for the cusp anomalous dimension and some expected analytic properties, we reconstruct a general expression valid for arbitrary Lorentz spin. We study various properties of this general result, such as its large-spin limit, its small-$x$ limit, and others. In particular, we present a prediction for the non-planar contribution to the anomalous dimension of the single-magnon operator in the $β$-deformed version of the theory. Published by North-Holland Publ. Co., Amsterdam |
| Databáze: | OpenAIRE |
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