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

Rudolf Haussmann

Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Format
Hardback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
21 May 1999
Pages
175
ISBN
9783540658122

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

Rudolf Haussmann

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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.

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