Self Consistent Quantum Field Theory And Bosonization For Strongly Correlated Electron Systems
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Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Author: Rudolf Haussmann
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-05-21
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.
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Author: Rudolf Haussmann
language: en
Publisher: Springer Science & Business Media
Release Date: 2003-07-01
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.
Quantum Field Theory in Strongly Correlated Electronic Systems
Author: Naoto Nagaosa
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-09-20
In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.