Calculation of the single-particle Green’s function of interacting fermions in arbitrary dimension via functional bosonization

Дата и время публикации : 1995-06-28T14:28:11Z

Авторы публикации и институты :
Peter Kopietz

Ссылка на журнал-издание: Proceedings of the Raymond L. Orbach Symposium, p. 101-119, edited by D. Hone (World Scientific, Singapore, 1996)
Коментарии к cтатье: 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
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: 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 $phi^{alpha}$. 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 $phi^{alpha}$-field and then averaging the resulting expression with respect to the probability distribution ${cal{P}} { phi^{alpha} } propto exp [ - S_{eff} { phi^{alpha} } ]$, where $S_{eff} { phi^{alpha} }$ is the effective action of the $phi^{alpha}$-field. We emphasize the approximations inherent in the higher-dimensional bosonization approach and clarify its relation with diagrammatic perturbation theory.

Category: Physics