Bosonization of Interacting Fermions in Arbitrary Dimensions by Peter KopietzBosonization of Interacting Fermions in Arbitrary Dimensions by Peter Kopietz

Bosonization of Interacting Fermions in Arbitrary Dimensions

byPeter Kopietz

Paperback | November 13, 2013

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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 dimensionsd1 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 arbitraryd, so that ind1 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.
Title:Bosonization of Interacting Fermions in Arbitrary DimensionsFormat:PaperbackDimensions:259 pages, 23.5 × 15.5 × 0.07 inPublished:November 13, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3662141698

ISBN - 13:9783662141694

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Table of Contents

Development of the formalism.- Fermions and the Fermi surface.- Hubbard-Stratonovich transformations.- Bosonization of the Hamiltonian and the density-density correlation function.- The single-particle Green's function.- Applications to physical systems.- Singular interactions (f q ? |q|?? ).- Quasi-one-dimensional metals.- Electron-phonon interactions.- Fermions in a stochastic medium.- Transverse gauge fields.