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Bosonization of Interacting Fermions in Arbitrary Dimensions
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Artikel-Nr:
9783662141694
Veröffentl:
2013
Einband:
Paperback
Erscheinungsdatum:
13.11.2013
Seiten:
272
Autor:
Peter Kopietz
Gewicht:
417 g
Format:
235x155x15 mm
Serie:
48, Lecture Notes in Physics Monographs
Sprache:
Englisch
Beschreibung:
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.
Springer Book Archives
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.