Bosonization of Interacting Fermions in Arbitrary Dimensions

Author:   Peter Kopietz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   48
ISBN:  

9783662141694


Pages:   259
Publication Date:   13 November 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Bosonization of Interacting Fermions in Arbitrary Dimensions


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Overview

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.

Full Product Details

Author:   Peter Kopietz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   48
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.421kg
ISBN:  

9783662141694


ISBN 10:   3662141698
Pages:   259
Publication Date:   13 November 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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