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Four-loop dressing phase of N=4 super-Yang-Mills theory

N. Beisert1,2,*, T. McLoughlin3,†, and R. Roiban3,‡

  • 1Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Potsdam, Germany
  • 2Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA
  • 3Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • *nbeisert@aei.mpg.de
  • †tmclough@phys.psu.edu
  • ‡radu@phys.psu.edu
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Phys. Rev. D 76, 046002 – Published 3 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.046002

Abstract

We compute the dilatation generator in the su(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 ζ(3).

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Phys. Rev. D 76, 046002– Published 3 August, 2007
  • Received 22 May 2007

© 2007 American Physical Society

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