Cheung, Clifford and Mangan, James
(2020)
*Scattering Amplitudes and the Navier-Stokes Equation.*
.
(Submitted)
https://resolver.caltech.edu/CaltechAUTHORS:20201111-131014384

PDF
- Submitted Version
See Usage Policy. 357Kb |

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20201111-131014384

## Abstract

We explore the scattering amplitudes of fluid quanta described by the Navier-Stokes equation and its non-Abelian generalization. These amplitudes exhibit universal infrared structures analogous to the Weinberg soft theorem and the Adler zero. Furthermore, they satisfy on-shell recursion relations which together with the three-point scattering amplitude furnish a pure S-matrix formulation of incompressible fluid mechanics. Remarkably, the amplitudes of the non-Abelian Navier-Stokes equation also exhibit color-kinematics duality as an off-shell symmetry, for which the associated kinematic algebra is literally the algebra of spatial diffeomorphisms. Applying the double copy prescription, we then arrive at a new theory of a tensor bi-fluid. Finally, we present monopole solutions of the non-Abelian and tensor Navier-Stokes equations and observe a classical double copy structure.

Item Type: | Report or Paper (Discussion Paper) | ||||||
---|---|---|---|---|---|---|---|

Related URLs: |
| ||||||

Additional Information: | C.C. and J.M. are supported by the DOE under grant no. DE- SC0011632 and by the Walter Burke Institute for Theoretical Physics. We would like to thank Maria Derda, Andreas Helset, Cynthia Keeler, Julio Parra-Martinez, Ira Rothstein, and Mikhail Solon for discussions and comments on the draft | ||||||

Group: | Walter Burke Institute for Theoretical Physics | ||||||

Funders: |
| ||||||

Other Numbering System: |
| ||||||

Record Number: | CaltechAUTHORS:20201111-131014384 | ||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201111-131014384 | ||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||

ID Code: | 106621 | ||||||

Collection: | CaltechAUTHORS | ||||||

Deposited By: | Joy Painter | ||||||

Deposited On: | 11 Nov 2020 22:24 | ||||||

Last Modified: | 11 Nov 2020 22:24 |

Repository Staff Only: item control page