Classical Polylogarithms for Amplitudes and Wilson Loops

Goncharov, A B; Spradlin, M; Vergu, C; Volovich, A

doi:10.1103/PHYSREVLETT.105.151605

Title: Classical Polylogarithms for Amplitudes and Wilson Loops

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Abstract

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.

Authors:

Goncharov, A B ^[1]; Spradlin, M; Vergu, C; Volovich, A ^[2]

Department of Mathematics, Brown University, Box 1917, Providence, Rhode Island 02912 (United States)
Department of Physics, Brown University, Box 1843, Providence, Rhode Island 02912 (United States)

Publication Date:: Fri Oct 08 00:00:00 EDT 2010

OSTI Identifier:: 21467010

Resource Type:: Journal Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 105; Journal Issue: 15; Other Information: DOI: 10.1103/PhysRevLett.105.151605; (c) 2010 American Institute of Physics; Journal ID: ISSN 0031-9007

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; FUNCTIONS; HELICITY; QUANTUM FIELD THEORY; SUPERSYMMETRY; TWISTOR THEORY; WILSON LOOP; YANG-MILLS THEORY; FIELD THEORIES; PARTICLE PROPERTIES; SYMMETRY

Citation Formats


                    Goncharov, A B, Spradlin, M, Vergu, C, and Volovich, A. Classical Polylogarithms for Amplitudes and Wilson Loops.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVLETT.105.151605.

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                    Goncharov, A B, Spradlin, M, Vergu, C, & Volovich, A. Classical Polylogarithms for Amplitudes and Wilson Loops.  United States.  https://doi.org/10.1103/PHYSREVLETT.105.151605

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                    Goncharov, A B, Spradlin, M, Vergu, C, and Volovich, A. 2010.  
        "Classical Polylogarithms for Amplitudes and Wilson Loops".  United States.  https://doi.org/10.1103/PHYSREVLETT.105.151605.

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@article{osti_21467010,

  title        = {Classical Polylogarithms for Amplitudes and Wilson Loops},

  author       = {Goncharov, A B and Spradlin, M and Vergu, C and Volovich, A},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVLETT.105.151605},

  url          = {https://www.osti.gov/biblio/21467010},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 15,

  volume       = 105,

  place        = {United States},

  year         = {Fri Oct 08 00:00:00 EDT 2010},

  month        = {Fri Oct 08 00:00:00 EDT 2010}

}

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https://doi.org/10.1103/PHYSREVLETT.105.151605

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