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Functional Bosonization of Interacting Fermions in Arbitrary Dimensions

Peter Kopietz·Kurt Schoenhammer
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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.

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Peter Kopietz, Kurt Schoenhammer. 1995-02-22. Functional Bosonization of Interacting Fermions in Arbitrary Dimensions. https://doi.org/10.1007/s002570050119

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