Topology of Strongly Correlated Systems

The XVIII Lisbon Autumn School brought together physicists from different areas, ranging from QCD to condensed matter. This subject will be of ever-growing importance in the coming years. The topics covered are: Anomalies, Physical Charges, Chiral Symmetry, Vortices (Superconductivity, Solitons, Kosterlitz–Thouless Transitions), Non-trivial Topology on the Lattice, Confinement (Wilson Loops and Strings, Instantons, Abelian Higgs Model, Dual QCD). Contents:Vortices in Superfluids and Superconductors, and Topological Defects in Other Materials (D J Thouless)Interplay of Real Space and Momentum Space Topologies in Strongly Correlated Fermionic Systems (G E Volovik)Topological Excitations and Second Order Transitions in 3D O(N) Models (L M A Bettencourt)Quantum Numbers of Solitons and Theta-Terms in Nonlinear Sigma-Models (P B Wiegmann)Center Vortices in Continuum Yang-Mills Theory (H Reinhardt & M Engelhardt)Monopoles and Confining Strings in QCD (M N Chernodub et al.)Effective String Theory of Vortices and Regge Trajectories of Hybrid Mesons with Zero Mass Quarks (M Baker & R Steinke)The Regularization Problem and Anomalies in Quantum Field Theory (J Zinn-Justin)Regulated Chiral Gauge Theory (H Neuberger)Probing the QCD Vacuum (N Brambilla)Pointlike Hopf Defects in Abelian Projections (F Bruckmann)On the Topological Susceptibility in Abelian-Projected SU(2) Gluodynamics (S Kato)and other papers Readership: Condensed-matter and particle physicists. Keywords: