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

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Free Download Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems by Rudolf Haussmann
English | PDF | 1999 | 181 Pages | ISBN : 3540658122 | 15.3 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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