Bosonization of interacting fermions in arbitrary dimensions
Author(s)
Bibliographic Information
Bosonization of interacting fermions in arbitrary dimensions
（Lecture notes in physics, . New series m,
Springer, c1997
Available at / 46 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNP||m4897012329
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National Institutes of Natural Sciences Okazaki Library and Information Center図
429.6/BO9131625213
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Note
Includes bibliographical references and index
Description and Table of Contents
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.
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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