Large N Thirring Matter in Three Dimensions
High Energy Physics - Theory
2016-07-13 v1 Strongly Correlated Electrons
Abstract
In this paper we calculate properties of the three-dimensional system of N species of fermions at zero temperature and finite chemical potential, with the four-fermionic interaction of the Thirring type. We observe that this model fits consistently into framework of the Landau Fermi liquid theory, and possesses a non-trivial zeroth and first Landau parameters. Our result is derived to all orders of the Thirring coupling constant and to the leading order of the large-N expansion. In particular we solve for the exact current-current correlation function, and show that it exhibits a singular behavior at zero frequency and twice of the Fermi momentum.
Cite
@article{arxiv.1605.08449,
title = {Large N Thirring Matter in Three Dimensions},
author = {M. Goykhman},
journal= {arXiv preprint arXiv:1605.08449},
year = {2016}
}