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

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

2008-09-25

arxiv.org/abs/0809.4512v2

Phys.Rev.Lett.101:261602,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1103/PhysRevLett.101.261602

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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