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Scattering Amplitudes and the Navier-Stokes Equation

Cheung, Clifford and Mangan, James (2020) Scattering Amplitudes and the Navier-Stokes Equation. . (Submitted)

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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)
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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
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Department of Energy (DOE)DE-SC0011632
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Record Number:CaltechAUTHORS:20201111-131014384
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106621
Deposited By: Joy Painter
Deposited On:11 Nov 2020 22:24
Last Modified:11 Nov 2020 22:24

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