Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
Sep, 2008Citations per year
Abstract: (arXiv)
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.- 11.25.Tq
- 47.10.ad
- 11.25.Hf
- field theory: conformal
- hydrodynamics
- finite temperature
- viscosity
- dissipation
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