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Title: Classical Polylogarithms for Amplitudes and Wilson Loops

Journal Article · · Physical Review Letters
 [1]; ; ;  [2]
  1. Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912 (United States)
  2. Department of Physics, Brown University, Box 1843, Providence, Rhode Island 02912 (United States)

We present a compact analytic formula for the two-loop six-particle maximally helicity violating remainder function (equivalently, the two-loop lightlike hexagon Wilson loop) in N=4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Li{sub k} with cross ratios of momentum twistor invariants as their arguments. In deriving our formula we rely on results from the theory of motives.

OSTI ID:
21467010
Journal Information:
Physical Review Letters, Vol. 105, Issue 15; Other Information: DOI: 10.1103/PhysRevLett.105.151605; (c) 2010 American Institute of Physics; ISSN 0031-9007
Country of Publication:
United States
Language:
English