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We bosonize the long-wavelength excitations of interacting fermions inarbitrary dimension by directly applying a suitable Hubbard-Stratonowichtransformation to the Grassmannian generating functional of the fermioniccorrelation functions. With this technique we derive a surprisingly simpleexpression for the single-particle Greens-function, which is valid forarbitrary interaction strength and can describe Fermi- as well as Luttingerliquids. Our approach sheds further light on the relation between bosonizationand the random-phase approximation, and enables us to study screening in anon-perturbative way.Comment: Revtex; no figure

Functional bosonization of interacting fermions in arbitrary dimensions