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

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 fiel...