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Bosonization of Interacting Fermions in Arbitrary Dimensions / by Peter Kopietz.
- Format:
- Book
- Author/Creator:
- Kopietz, Peter, 1961- author.
- Series:
- Lecture Notes in Physics Monographs ; 48
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Condensed matter.
- Mathematical Methods in Physics.
- Condensed Matter Physics.
- Local Subjects:
- Mathematical Methods in Physics.
- Condensed Matter Physics.
- Physical Description:
- 1 online resource (XII, 259 p. 3 illus.)
- Edition:
- 1st ed. 1997.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references and index.
- ISBN:
- 3-540-68495-6
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