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The full four-loop cusp anomalous dimension in N = 4 super Yang-Mills and QCD

Henn, Johannes M. ; Korchemsky, Gregory P. ; Mistlberger, Bernhard

The journal of high energy physics, 2020-04, Vol.2020 (4) [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
The full four-loop cusp anomalous dimension in N = 4 super Yang-Mills and QCD
Autor: Henn, Johannes M. ; Korchemsky, Gregory P. ; Mistlberger, Bernhard
Assuntos: Classical and Quantum Gravitation ; Cusps ; Elementary Particles ; Insertion ; Physics ; Physics and Astronomy ; Quantum chromodynamics ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Supersymmetry ; Yang-Mills theory
É parte de: The journal of high energy physics, 2020-04, Vol.2020 (4)
Descrição: A bstract We present the complete formula for the cusp anomalous dimension at four loops in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given by Γ cusp , A α s 4 = − α s N π 4 73 π 6 20160 + ζ 3 2 8 + 1 N 2 31 π 6 5040 + 9 ζ 3 2 4 . Our approach is based on computing the correlation function of a rectangular light-like Wilson loop with a Lagrangian insertion, normalized by the expectation value of the Wilson loop. In maximally supersymmetric Yang-Mills theory, this ratio is a finite function of a cross-ratio and the coupling constant. We compute it to three loops, including the full colour dependence. Integrating over the position of the Lagrangian insertion gives the four-loop Wilson loop. We extract its leading divergence, which determines the four-loop cusp anomalous dimension. Finally, we employ a supersymmetric decomposition to derive the last missing ingredient in the corresponding QCD result.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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The full four-loop cusp anomalous dimension in N = 4 super Yang-Mills and QCD

Henn, Johannes M. ; Korchemsky, Gregory P. ; Mistlberger, Bernhard

Berlin/Heidelberg: Springer Berlin Heidelberg

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