O. Gamayun 1, 2 A. G. Pronko 3 M. B. Zvonarev 4
Nuclear Physics B, Elsevier, 2015, pp.83
We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-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.
- 1. Bogolyubov Institute for Theoretical Physics, 14-b Metrolohichna street, Kiev 03680, Ukraine
- 2. Department of Physics, Lancaster University
- 3. Steklov Mathematical Institute
- 4. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques