Bosonization of interacting fermions in arbitrary dimensions
By: Peter Kopietz.
Series: Lecture notes in physics.; m48
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 259
Subjects: Fermions.; Interacting boson-fermion models.; Many-body problem.
Description: 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.
Notes: Includes bibliographical references (p. [247]-255)and index.