Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems

by Rudolf Haussmann

Overview

This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems.

Also considered is the crossover from BCS superconductivity to Bose—Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.

Product Details

ISBN-13:	9783540658122
Publisher:	Springer Berlin Heidelberg
Publication date:	06/22/1999
Series:	Lecture Notes in Physics Monographs , #56
Edition description:	1999
Pages:	175
Product dimensions:	6.14(w) x 9.21(h) x 0.02(d)

Table of Contents

Self-consistent quantum-field theory.- Superconductivity and pairing of electrons in three dimensions.- Gauge transformation and bosonization.- Two-dimensional electron systems in the FQHE regime.- Further applications.