Hedgehog bases for An cluster polylogarithms and an application to six-point amplitudes

A bstract Multi-loop scattering amplitudes in N = 4 Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of...

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Bibliographic Details
Published in:The journal of high energy physics 2015-11, Vol.2015 (11)
Main Authors: Parker, Daniel E., Scherlis, Adam, Spradlin, Marcus, Volovich, Anastasia
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Supersymmetric gauge theory
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Summary:A bstract Multi-loop scattering amplitudes in N = 4 Yang-Mills theory possess cluster algebra structure. In order to develop a computational framework which exploits this connection, we show how to construct bases of Goncharov polylogarithm functions, at any weight, whose symbol alphabet consists of cluster coordinates on the A n cluster algebra. Using such a basis we present a new expression for the 2-loop 6-particle NMHV amplitude which makes some of its cluster structure manifest.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2015)136