Bosonization of Interacting Fermions in Arbitrary Dimensions

Peter Kopietz (Autor)

Buch | Softcover

XII, 259 Seiten

2013 | 1. Softcover reprint of the original 1st ed. 1997
Springer Berlin (Verlag)
978-3-662-14169-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	13.11.2013
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	XII, 259 p. 3 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	386 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Condensed Matter • Condensed matter physics • Dispersion • electron • Fermion-Systeme und Elektronengas • fermion systems and electron gas • functional integration • Funktionalintegration • hamiltonian • Many-Body Problem • many-body theory • Normale Quantenflüssigkeiten • normal quantum liquids • Theorie der Vielteilchensysteme
ISBN-10	3-662-14169-8 / 3662141698
ISBN-13	978-3-662-14169-4 / 9783662141694
Zustand	Neuware