Four-loop dressing phase ofN=4super-Yang-Mills theory

2007/05/18 by N. Beisert, Niklas Beisert, Tristan McLoughlin +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.76.046002

published as Phys.Rev.D76:046002,2007 · 19 pages, v2: referenced added

arxiv created 2007/05/18 · openalex publication_date 2007/08/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We compute the dilatation generator in the \mathfraks\mathfraku(2) sector of planar N=4 super-Yang-Mills theory at four loops. We use the known world-sheet scattering matrix to constrain the structure of the generator. The remaining few coefficients can be computed directly from Feynman diagrams. This allows us to confirm previous conjectures for the leading contribution to the dressing phase which is proportional to \ensuremathζ(3).

Citations

• Automatized analytic continuation of Mellin–Barnes integrals
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory

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