Entanglement and the Double Copy
- Creators
- Cheung, Clifford
- Remmen, Grant N.
Abstract
We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function characterizing gluons in two copies of SU(N) gauge theory. Given relatively minimal assumptions following from permutation invariance and dimensional analysis, the three- and four-particle wave functions generate scattering amplitudes that automatically coincide exactly with gravity, modulo normalization. For five-particle scattering the match is not automatic but imposing certain known selection rules on the amplitude is sufficient to uniquely reproduce gravity. The resulting amplitudes exhibit a color-dressed and permutation-invariant form of the usual double copy relations. We compute the entanglement entropy between the two gauge theory copies and learn that these states are maximally-entangled at large N . Moreover, this approach extends immediately to effective field theories, where Born-Infeld photons and Galileons can be similarly recast as entangled gluons and pions.
Additional Information
© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: March 10, 2020; Revised: April 14, 2020; Accepted: April 15, 2020; Published: May 22, 2020. We thank Jake Bourjaily, JJ Carrasco, Matt Headrick, and Junyu Liu for useful discussions and comments. C.C. is supported by the DOE under grant no. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. G.N.R. is supported by the Miller Institute for Basic Research in Science at the University of California, Berkeley.Attached Files
Published - Cheung-Remmen2020_Article_EntanglementAndTheDoubleCopy.pdf
Submitted - 2002.10470.pdf
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Additional details
- Eprint ID
- 101738
- Resolver ID
- CaltechAUTHORS:20200306-105910131
- DE-SC0011632
- Department of Energy (DOE)
- Walter Burke Institute for Theoretical Physics, Caltech
- Miller Institute for Basic Research in Science
- SCOAP3
- Created
-
2020-03-06Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2020-003