The kinematic algebra from the self-dual sector
Ricardo Monteiro,Donal O'Connell +1 more
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In this article, a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory is identified, and it determines the kinematic numerators of tree-level MHV amplitudes in the full theory.Abstract:
We identify a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and show that it determines the kinematic numerators of tree-level MHV amplitudes in the full theory. These amplitudes can be computed off-shell from Feynman diagrams with only cubic vertices, which are dressed with the structure constants of both the Yang-Mills colour algebra and the diffeomorphism algebra. Therefore, the latter algebra is the dual of the colour algebra, in the sense suggested by the work of Bern, Carrasco and Johansson. We further study perturbative gravity, both in the self-dual and in the MHV sectors, finding that the kinematic numerators of the theory are the BCJ squares of the Yang-Mills numerators.read more
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Coincident General Relativity
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Zvi Bern,Zvi Bern,Zvi Bern,John Joseph M. Carrasco,John Joseph M. Carrasco,Lance J. Dixon,Lance J. Dixon,Henrik Johansson,Radu Roiban,Radu Roiban +9 more
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References
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New Relations for Gauge-Theory Amplitudes
TL;DR: In this paper, an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories is presented, which is an analog of the Jacobi identity for color factors.
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A Relation Between Tree Amplitudes of Closed and Open Strings
TL;DR: In this article, the authors derive a formula which expresses any closed string tree amplitude in terms of a sum of the products of appropriate open string tree amplitudes, which is applicable to the heterotic string as well as to the closed bosonic string and type II superstrings.
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Perturbative Quantum Gravity as a Double Copy of Gauge Theory
TL;DR: It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.
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Recursive calculations for processes with n gluons
Frits A. Berends,W.T. Giele +1 more
TL;DR: In this paper, a method is presented in which multigluon processes are calculated recursively, explicitly developed for processes where only gluons are produced and processes where in addition to the Gluons also a quark-antiquark pair with or without a vector boson or e + e − pair are present.
Journal ArticleDOI
Gravity as the Square of Gauge Theory
TL;DR: In this paper, it was shown that the duality between color and kinematics implies that diagrammatic numerators in gravity are just the product of two corresponding gauge-theory numerators, as previously conjectured.