Impurity Green's function of a one-dimensional Fermi-gas

Gamayun, O.; Pronko, A. G.; Zvonarev, M. B.

doi:10.1016/j.nuclphysb.2015.01.004

arXiv 2014-10-06 DOI 10.1016/j.nuclphysb.2015.01.004 0 views

Impurity Green's function of a one-dimensional Fermi-gas

Gamayun, O. · Pronko, A. G. · Zvonarev, M. B.

Mathematical Physics Quantum Gases Exactly Solvable and Integrable Systems

Original · EN

We consider a one-dimensional gas of spin-1/2 fermions interacting through δ-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.

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