Bosonization of Interacting Fermions in Arbitrary Dimensions (eBook, PDF)
Peter Kopietz
eBook, PDF

Bosonization of Interacting Fermions in Arbitrary Dimensions (eBook, PDF)

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The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d>1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d>1 the curvature of the Fermi surface...

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