• Corpus ID: 226221944

# Scattering Amplitudes and the Navier-Stokes Equation

@article{Cheung2020ScatteringAA,
title={Scattering Amplitudes and the Navier-Stokes Equation},
author={Clifford Cheung and James Mangan},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
• Published 29 October 2020
• Mathematics
• arXiv: High Energy Physics - Theory
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…

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## References

SHOWING 1-10 OF 33 REFERENCES

### TASI Lectures on Scattering Amplitudes

• C. Cheung
• Physics
Anticipating the Next Discoveries in Particle Physics
• 2018
These lectures are a brief introduction to scattering amplitudes. We begin with a review of basic kinematical concepts like the spinor helicity formalism, followed by a tutorial on bootstrapping

• 143
• 1961

### Phys

• Rev. Lett. 118, 121601
• 2017

• 118
• 2015

• 759
• 1988

### Phys

• Rev. D 78, 085011
• 2008

• 095
• 2018

• 076
• 2008

• 003
• 2005