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

ISBN: 3540658122

Category: Technical

Tag: Science/Engineering


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Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Springer | ISBN: 3540658122 | 1999-06-22 | PDF | 175 pages | 4 Mb


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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