Diagrammatic Expansion for Positive Spectral Functions in the Steady-State Limit
arXiv:1905.04290 · doi:10.1002/pssb.201800615
Abstract
Recently, a method was presented for constructing self-energies within many-body perturbation theory that are guaranteed to produce a positive spectral function for equilibrium systems, by representing the self-energy as a product of half-diagrams on the forward and backward branches of the Keldysh contour. We derive an alternative half-diagram representation that is based on products of retarded diagrams. Our approach extends the method to systems out of equilibrium. When a steady-state limit exists, we show that our approach yields a positive definite spectral function in the frequency domain.
7 pages, 4 figures, KBEt2 2019