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

Journal Article · Wed Dec 31 00:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.261602· OSTI ID:21180073

Fouxon, Itzhak; Oz, Yaron ^[1]

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1. Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978 (Israel)

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.

• OSTI ID: 21180073
• Journal Information: Physical Review Letters, Vol. 101, Issue 26; Other Information: DOI: 10.1103/PhysRevLett.101.261602; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL INVARIANCE
HYDRODYNAMICS
NAVIER-STOKES EQUATIONS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE