Conformal field theory as microscopic dynamics of incompressible euler and Navier-Stokes equations

Itzhak Fouxon*, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 nonrelativistic incompressible Euler equation. For viscous hydrodynamics we show that the limit of slow motions leads to the nonrelativistic 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.

Original languageEnglish
Article number261602
JournalPhysical Review Letters
Volume101
Issue number26
DOIs
StatePublished - 22 Dec 2008

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