{
  "id": "0809.4512",
  "version": "v2",
  "published": "2008-09-25T23:33:29.000Z",
  "updated": "2008-09-28T12:18:15.000Z",
  "title": "Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations",
  "authors": [
    "Itzhak Fouxon",
    "Yaron Oz"
  ],
  "comment": "4 pages",
  "journal": "Phys.Rev.Lett.101:261602,2008",
  "doi": "10.1103/PhysRevLett.101.261602",
  "categories": [
    "hep-th",
    "cond-mat.other",
    "nlin.CD"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-28T12:18:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Tq",
      "47.10.ad",
      "11.25.Hf"
    ],
    "keywords": [
      "conformal field theory",
      "microscopic dynamics",
      "relativistic conformal field theories",
      "slow motions",
      "non-relativistic incompressible euler equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Dec",
      "volume": 101,
      "number": 26,
      "pages": 261602
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 797688,
      "adsabs": "2008PhRvL.101z1602F"
    }
  }
}