Pure gravities via color-kinematics duality for fundamental matter

By H. Johansson, Alexander Ochirov. 2014

154 citations recorded by the source corpus.

A bstractWe give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure (super-)Yang-Mills parts and additional contributions from double copies of fundamental matter, which are treated as ghosts. The opposite-statistics states cancel the unwanted dilaton and axion in the bosonic theory, as well as the extra matter supermultiplets in the supergravity theories. As a spinoff, we obtain a prescription for obtaining amplitudes in supergravities with arbitrary non-self-interacting matter. As a prerequisite, we extend the color-kinematics duality from the adjoint to the fundamental representation of the gauge group. We explain the numerator relations that the fundamental kinematic Lie algebra should satisfy. We give nontrivial evidence supporting our construction using explicit tree and loop amplitudes, as well as more general arguments.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ad5433e266da09061cdc6ae013a298d8c2c2db42

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Black holes and the double copy (2014, background): “Other investigations have verified their application in form factors rather than scattering amplitudes [29], and also in theories with fundamental matter [30].”
Ultraviolet properties of N=8 supergravity at five loops (2018, background): “The duality underlying the double copy has also been identified in a wider class of quantum field and string theories [49,58–62], including those with fundamental representation matter [63].”
Double copy for massive quantum particles with spin (2019, background): “copy may be a general feature of gravitational theories [34,35]. Indeed, by now it has been observed to give correct amplitudes in a large set of gravitational theories, such as pure Einstein gravity [20], pure and matter-coupled supergravities [16,20,28,36,37], Einstein-Yang-Mills theories [23,34,3”
Color-kinematics duality for QCD amplitudes (2015, background): “[50] have a factor of −i pulled out relative to this convention.”
Inelastic black hole scattering from charged scalar amplitudes (2017, methodology): “Indeed it is likely that there will be issues, since ghosts built from double copies of scalars (rather than double copies of spinors) encounter problems at two loops [38].”
The classical double copy for Taub–NUT spacetime (2015, background): “Follow-up work has examined loop-level amplitudes [3, 12–30], form-factors [31], or alternative theories [32].”
One-loop amplitudes on the Riemann sphere (2015, methodology): “15 This subtraction is analogous to the prescription of [55], where scalars with fermionic statistics were introduced to implement the BCJ double copy in loop-level amplitudes of pure gravity theories.”
Type D spacetimes and the Weyl double copy (2018, background): “At loop level, the double copy has been extensively studied [17–31], but to date it is still a conjecture [27].”