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Bosonization of Interacting Fermions in Arbitrary Dimensions

Bosonization of Interacting Fermions in Arbitrary Dimensions PDF Author: Peter Kopietz
Publisher: Springer Science & Business Media
ISBN: 3540684956
Category : Science
Languages : en
Pages : 263

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Book Description
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 d1 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 d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.