Dec 15 – 16, 2022
Centre for Particle Theory, Durham
Europe/London timezone

Non-Linear Solutions and the Double Copy

Dec 16, 2022, 3:30 PM
Ph8 (zoom room 1) (Centre for Particle Theory, Durham)

Ph8 (zoom room 1)

Centre for Particle Theory, Durham

Department of Physics Durham University South Road Durham DH1 3LE
Long talk (20 mins) Full Length Talks


Kymani Armstrong-Williams (Queen Mary University of London)


The double copy relates scattering amplitudes in quantum gravity as the square for those in non-abelian gauge theories. This property has been extended to relate position space solutions in classical physics in biadjoint scalar, gauge and gravity theories. So far, no strongly coupled examples of the double copy in four dimensions have been found, and previous attempts based on exact non-linear solutions of biadjoint theory in Lorentzian signature have proved unfruitful. Instead, we search for solutions in Euclidean signature, which could be relatable to Yang-Mills or gravitational instantons. We show that non-linear spherically symmetric power-like Euclidean solutions are non-existent in four spacetime dimensions. The reason why this is the case turns out to involve the Eguchi-Hanson instanton.

Type of presentation 20 minute talk
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Primary author

Kymani Armstrong-Williams (Queen Mary University of London)


Dr Christopher White (Queen Mary University of London) Mr Sam Wikeley (Queen Mary University of London )

Presentation materials