Current response, structure factor and hydrodynamic quantities of a two- and three-dimensional Fermi gas from the operator-product expansion
Quantum Gases
2011-10-12 v2 High Energy Physics - Theory
Nuclear Theory
Abstract
We apply the operator-product expansion to determine the asymptotic form of the current response of a Fermi gas in two and three dimensions. The leading-order term away from the one-particle peak is proportional to a quantity known as the contact, the coefficient of which is determined exactly. We also calculate the dynamic structure factor and the high-frequency tails of the spectral viscosities as a function of the scattering length. Our results are used to derive certain sum rules for the viscosities.
Keywords
Cite
@article{arxiv.1106.6035,
title = {Current response, structure factor and hydrodynamic quantities of a two- and three-dimensional Fermi gas from the operator-product expansion},
author = {Johannes Hofmann},
journal= {arXiv preprint arXiv:1106.6035},
year = {2011}
}
Comments
14 pages, 10 figures