Bosonization of Interacting Fermions in Arbitrary Dimensions

by Peter Kopietz

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.

Product Details

ISBN-13:	9783662141694
Publisher:	Springer Berlin Heidelberg
Publication date:	11/13/2013
Series:	Lecture Notes in Physics Monographs , #48
Edition description:	Softcover reprint of the original 1st ed. 1997
Pages:	259
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

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.- Quasi-one-dimensional metals.- Electron-phonon interactions.- Fermions in a shastic medium.- Transverse gauge fields.