Nonperturbative Double Copy in Flatland
Abstract
We derive a nonperturbative, Lagrangian-level formulation of the double copy in two spacetime dimensions. Our results elucidate the field theoretic underpinnings of the double copy in a broad class of scalar theories which can include masses and higher-dimension operators. An immediate corollary is the amplitudes-level double copy at all orders in perturbation theory. Applied to certain integrable models, the double copy defines an isomorphism between Lax connections, Wilson lines, and infinite towers of conserved currents. We also implement the double copy at the level of nonperturbative classical solutions, both analytically and numerically, and present a generalization of the double copy map that includes a fixed tower of higher-dimension corrections given by the Moyal algebra.
Additional Information
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP³. We are grateful to J. J. Carrasco, Henrik Johansson, Ricardo Monteiro, and Donal O'Connell for insightful comments on the draft. C. C., J. P.-M., and N. S. are supported by the DOE under Grant No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. J. M. is supported in part by the DOE under Contract No. DE-SC0021485 as well as the Northwestern University Amplitudes and Insight group. Numerical simulations were performed on the Hoffman2 Cluster at the Institute for Digital Research and Education at UCLA. J. P.-M. is also supported in part by the NSF under Grant No. NSF PHY-1748958 and would like to thank the Mani L. Bhaumik Institute for Theoretical Physics and the Kavli Institute for Theoretical Physics for hospitality.Attached Files
Published - PhysRevLett.129.221602.pdf
Supplemental Material - numerical_scattering_animation.gif
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Additional details
- Eprint ID
- 122136
- Resolver ID
- CaltechAUTHORS:20230705-943252200.25
- DE-SC0011632
- Department of Energy (DOE)
- Walter Burke Institute for Theoretical Physics, Caltech
- DE-SC0021485
- Department of Energy (DOE)
- Northwestern University
- PHY-1748958
- NSF
- SCOAP3
- Created
-
2023-07-07Created from EPrint's datestamp field
- Updated
-
2023-07-07Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics