New Theoretical Approaches to Strongly Correlated Systems

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.

Booknews

Tsvelik (physics, U. of Oxford, UK) presents ten contributions that explore the theoretical areas of condensed matter physics requiring non-perturbative approaches that require a lot of mathematical training. The material is organized into sections on quantum critical points, strongly correlated one-dimensional systems, strong correlations and disorder, and dynamical mean field theory. Topics addressed include damping of collective modes and quasiparticles in -wave superconductors; dynamical properties of one dimensional Mott insulators; non-perturbative field theory and quantum impurity problems; Ising-model description of quantum critical points in ID electron and spin systems; commensurability, topology, and Luttinger's theorem in quantum many-body systems; critical points two-dimensional replica sigma models; the conformal field theory of disordered systems; disordered Dirac Fermions; disordered quantum solids; and model Hamiltonians and first principles electronic structure calculations. Annotation c. Book News, Inc., Portland, OR (booknews.com)