New Theoretical Approaches to Strongly Correlated Systems, 2001
NATO Science Series II: Mathematics, Physics and Chemistry Series, Vol. 23

For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

List of Figures. List of Tables. Introduction; A. Tsvelik. Part I: Quantum Critical Points. 1. Damping of collective modes and quasiparticles in d-wave superconductors; S. Sachdev, M. Vojta. Part II: Strongly Correlated One-Dimensional Systems. 2. Dynamical Properties of one dimensional Mott Insulators; D. Controzzi, et al. 3. Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II; H. Saleur. 4. Ising-model Description of Quantum Critical Points in 1D Electron and Spin Systems; A.A. Nersesyan. 5. Commensurability, topology and Luttinger's theorem in quantum many-body systems; M. Oshikawa. Part III: Strong Correlations and Disorder. 6. Critical points in two-dimensional replica sigma models; P. Fendley. 7. Topics in the conformal field theory of disordered systems; J. Cardy. 8. Disordered Dirac Fermions: Three Different Approaches; M.J. Bhaseen, et al. 9. Disordered Quantum Solids; T. Giamarchi, E. Orignac. Part IV: Dynamical Mean Field Theory. 10. Model Hamiltonians and First Principles Electronic Structure Calculations; G. Kotliar, S.Y. Savrasov.