1995/06/28 by Peter Kopietz
Physics and Astronomy · #cond-mat
published as Proceedings of the Raymond L. Orbach Symposium, p. 101-119, edited by D. Hone (World Scientific, Singapore, 1996) · compressed postscript file, 4 figures included. This is a written version of a talk I gave at the Raymond L. Orbach Symposium, Riverside, Ca, March 18, 1995. To be published in the Proceedings of the Orbach Symposium, World Scientific. Editor: D. Hone
arxiv created 1995/06/28 · arxiv updated 2009/11/30
The single-particle Green's function of an interacting Fermi system with dominant forward scattering is calculated by decoupling the interaction by means of a Hubbard-Stratonowich transformation involving a bosonic auxiliary field ϕα. We obtain a higher dimensional generalization of the well-known one-dimensional bosonization result for the Green's function by first calculating the Green's function for a fixed configuration of the ϕα-field and then averaging the resulting expression with respect to the probability distribution \calP \ ϕα \ ∝ exp [ - Seff \ ϕα \ ], where Seff \ ϕα \ is the effective action of the ϕα-field. We emphasize the approximations inherent in the higher-dimensional bosonization approach and clarify its relation with diagrammatic perturbation theory.