Bosonization of Interacting Fermions in Arbitrary Dimensions [electronic resource] / by Peter Kopietz.
Material type: TextSeries: Lecture Notes in Physics Monographs ; 48Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997Description: XII, 259 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540684954Subject(s): Physics | Mathematical physics | Condensed matter | Physics | Mathematical Methods in Physics | Condensed MatterAdditional physical formats: Printed edition:: No titleDDC classification: 530.15 LOC classification: QC5.53Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK2780 |
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.
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, such as coupled metallic chains, electron-phonon interactions, disordered electrons, and electrons coupled to transverse gauge fields. The book addresses researchers and graduate students in theoretical condensed matter physics.
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