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arXiv · 0809.4512

Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations

Itzhak Fouxon·Yaron Oz
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Abstract

We consider the hydrodynamics of relativistic conformal field theories at finite temperature. We show that the limit of slow motions of the ideal hydrodynamics leads to the non-relativistic incompressible Euler equation. For viscous hydrodynamics we show that the limit of slow motions leads to the non-relativistic incompressible Navier-Stokes equation. We explain the physical reasons for the reduction and discuss the implications. We propose that conformal field theories provide a fundamental microscopic viewpoint of the equations and the dynamics governed by them.

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Itzhak Fouxon, Yaron Oz. 2008-09-28. Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations. https://doi.org/10.1103/physrevlett.101.261602

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