Bosonization of Interacting Fermions in Arbitary Dimensions

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 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.
TOC: Contents: I. Development of the Formalism.- Introduction.-Fermions and the Fermi Surface.- Hubbard-Stratonovich Transformations.- Bosonization of the Hamiltonian and the Density-Density Correlation Function.- The Single-Particle Green's Function.- II. Applications to Physical Systems.-Quasi-One-Dimensional Metals.- Electron-Phonon Interactions.- Fermions in a Stochastic Medium.- Transverse Gauge Fields.- Appendix: Screening and Collective Modes.- References.- Index.