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2020

Scattering Amplitudes and the Navier-Stokes Equation

Cheung, Clifford, Mangan, James

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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.

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