Functional Bosonization of Interacting Fermions in Arbitrary Dimensions
Condensed Matter
2016-08-31 v1
Abstract
We bosonize the long-wavelength excitations of interacting fermions in arbitrary dimension by directly applying a suitable Hubbard-Stratonowich transformation to the Grassmannian generating functional of the fermionic correlation functions. With this technique we derive a surprisingly simple expression for the single-particle Greens-function, which is valid for arbitrary interaction strength and can describe Fermi- as well as Luttinger liquids. Our approach sheds further light on the relation between bosonization and the random-phase approximation, and enables us to study screening in a non-perturbative way.
Cite
@article{arxiv.cond-mat/9502088,
title = {Functional Bosonization of Interacting Fermions in Arbitrary Dimensions},
author = {Peter Kopietz and Kurt Schoenhammer},
journal= {arXiv preprint arXiv:cond-mat/9502088},
year = {2016}
}
Comments
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