Impurity Green's function of a one-dimensional Fermi-gas
arXiv:1410.1502 · doi:10.1016/j.nuclphysb.2015.01.004
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.
arXiv comment21 pages, no figures; v2: references and comments added
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