Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions
Aug, 2008
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Abstract: (arXiv)
The shear viscosity, eta, of a fermi gas with non-relativistic conformal symmetry in two spatial dimensions is investigated. We find that eta/s, s being the entropy density, diverges as a gas of free particles in this system. It is in contrast to the eta/s=1/(4 pi) found using non-relativistic AdS/CFT correspondence, which requires a strongly interacting CFT. It implies the unitary fermi gas in two spatial dimensions is not likely to have a weakly interacting gravity dual.Note:
- 6 pages, 1 figure/ minor corrections and references added
- symmetry: conformal
- entropy: density
- gas: viscosity
- dimension: 3
- fermion: nonrelativistic
References(27)
Figures(1)