Impurity Green's function of a one-dimensional Fermi-gas
Mathematical Physics
2015-01-21 v2 Quantum Gases
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider a one-dimensional gas of spin-1/2 fermions interacting through -function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of the spin-down fermion. This impurity Green's function is represented in the thermodynamic limit as an integral of Fredholm determinants of integrable linear integral operators.
Cite
@article{arxiv.1410.1502,
title = {Impurity Green's function of a one-dimensional Fermi-gas},
author = {O. Gamayun and A. G. Pronko and M. B. Zvonarev},
journal= {arXiv preprint arXiv:1410.1502},
year = {2015}
}
Comments
21 pages, no figures; v2: references and comments added