English

Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions

High Energy Physics - Theory 2013-01-01 v2 Other Condensed Matter High Energy Physics - Phenomenology Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0808.0399,
  title  = {Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions},
  author = {Jiunn-Wei Chen and Wen-Yu Wen},
  journal= {arXiv preprint arXiv:0808.0399},
  year   = {2013}
}

Comments

6 pages, 1 figure; minor corrections and references added