Topology of strongly correlated systems : proceedings of the XVIII Lisbon Autumn School, Lisbon, Portugal, 8-13 October, 2000

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). Read more... 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 non-linear sigma-models / P.B. Wiegmann -- Center vortices in continuum Yang-Mills theory / H. Reinhardt and M. Engelhardt -- Monopoles and confining strings in QCD / M.N. Chernodub [und weitere] -- Effective string theory of vortices and Regge trajectories of hybrid mesons with zero mass quarks / M. Baker and 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 -- Dynamics of topological excitations in low dimensional magnetic systems / A.O. Caldeira and A. Villares Ferrer -- Pointlike Hopf defects in Abelian projections / F. Bruckmann -- Topological symmetry breaking and the confinement of anyons / P.W. Irwin and M.B. Paranjape -- On the topological susceptibility in abelian-projected SU(2) gluodynamics / S. Kato -- Strong hadronic decays in QCD2 / Yu. S. Kalashnikova and A.V. Nefediev -- Universal properties in low dimensional fermionic systems and bosonization / L.E. Oxman, D.G. Bard and E.R. Mucciolo -- Quantum fluctuations of the Chern-Simons theory and the Sutherland model / I. Andric, V. Bardek and L. Jonke -- Antiferromagnetism and dx2-y2-wave pairing in the colored Hubbard model / T. Baier and E. Bick -- Quantum friction / A. Melikidze Preface; Contents; Vortices in superfluids and superconductors and topological defects in other materials; 1 Introduction; 2 Topological quantum numbers in superfluids and superconductors; 3 Broken symmetry and topology; 4 Fields in condensed matter theory and particle theory; 5 Experimental manifestations of quantization of circulation and flux; 6 3He and liquid crystals; 7 The quantum Hall effect; Interplay of real space and momentum space topologies in strongly correlated fermionic systems; 1 Introduction; 2 Momentum space topology of Fermi point