03178oam 2200601 450 991025739920332120210716143636.03-540-68495-610.1007/978-3-540-68495-4(CKB)1000000000778025(SSID)ssj0000321685(PQKBManifestationID)12133493(PQKBTitleCode)TC0000321685(PQKBWorkID)10279800(PQKB)10471400(DE-He213)978-3-540-68495-4(MiAaPQ)EBC3087730(MiAaPQ)EBC6485721(PPN)155236458(EXLCZ)99100000000077802520210716d1997 uy 0engurnn|008mamaatxtccrBosonization of interacting fermions in arbitrary dimensions /Peter Kopietz1st ed. 1997.Berlin :Springer,[1997]©19971 online resource (XII, 259 p. 3 illus.) Lecture notes in physics. New series m, MonographsBibliographic Level Mode of Issuance: Monograph3-540-62720-0 Includes bibliographical references and index.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.Lecture notes in physics.New series m,Monographs.Interacting boson-fermion modelsMany-body problemFermionsInteracting boson-fermion models.Many-body problem.Fermions.530.143Kopietz Peter1961-61187MiAaPQMiAaPQUtOrBLWBOOK9910257399203321Bosonization of Interacting Fermions in Arbitrary Dimensions375664UNINA