Lattice Fermions and Structure of the Vacuum Proceedings of the NATO Advanced Research Workshop on Lattice Fermions and Structure of the Vacuum Dubna, Russia 5-9 October 1999

Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts. Booknews Written versions of the 38 talks and poster presentations at an October 1999 workshop in Dubna, Russia look at two key problems in modern field theory: the formulation of chiral gauge theories on the lattice, and the quantitative understanding of the quark confinement mechanism. The two are linked by the topological origin of both the chiral nature of the fermions and the confining forces. The topics include domain-wall fermions in vector theories, optimizing chirality and scaling lattice fermions, a new multi-boson algorithm proposed by Slavnov, preliminary results with lattice covariant gauge, classical solutions and the vacuum structure in lattice gauge theories, vortices and confinement, some pieces of lattice evidence in favor of the center-vortex picture of color confinement, chirality carried by monopoles, and random matrix theory and Dirac spectrum at non-zero temperatures and density. There is no index. Annotation c. Book News, Inc., Portland, OR (booknews.com) Front Matter....Pages i-ix Remarks on Domain-Wall Fermions....Pages 1-9 Domain-Wall Fermions in Vector Theories....Pages 11-26 Better Domain-Wall Fermions....Pages 27-39 Truncated Overlap Fermions: the Link Between Overlap and Domain Wall Fermions....Pages 41-52 Topology and Chiral Symmetry in QCD with Overlap Fermions....Pages 53-64 First Experiences with HMC for Dynamical Overlap Fermions....Pages 65-68 Some Answered and Unanswered Questions about the Structure of the Set of Fermionic Actions with GWL Symmetry....Pages 69-76 Optimizing Chirality and Scaling of Lattice Fermion....Pages 77-89 Chiral Symmetry Breaking in Strongly Coupled 1 + 1 Dimensional Lattice Gauge Theories....Pages 91-98 Regularization and Anomalies in Gauge Theory....Pages 99-112 Chiral Symmetry Outside Perturbation Theory....Pages 113-124 Dirac Operator Normality and Chiral Fermions on the Lattice....Pages 125-136 Abelian and Nonabelian Lattice Chiral Gauge Theories Through Gauge Fixing....Pages 137-151 On the Eta-Invariant in the 4D Chiral U(1) Theory....Pages 153-161 Overview of the Chiral Fermions on 2D Torus....Pages 163-171 ’T Hooft Vertex in the Chiral Schwinger Model....Pages 173-181 Multifield Effective Action for Lattice QCD....Pages 183-193 An Investigation of a New Multiboson Algorithm Proposed by Slavnov....Pages 195-200 Quenched QCD Near the Chiral Limit....Pages 201-209 Decorrelation of the Topological Charge in Tempered Simulations of Full QCD....Pages 211-218 Computational Costs of Future QCD Simulations in the Deep Chiral Regime....Pages 219-233 Some Considerations on Lattice Gauge Fixing....Pages 235-243 Remarks on Lattice Gauge Fixing....Pages 245-252 Preliminary Results with Lattice Covariant Gauge....Pages 253-256 Lorentz Gauge Fixing and Lattice QED....Pages 257-267 Instantons Versus Monopoles....Pages 269-279 Classical Solutions and the Vacuum Structure in Lattice Gauge Theories....Pages 281-286 On the Topological Structure of the QCD Vacuum....Pages 287-298 Instantons and Fermions on the Lattice....Pages 299-306 Phononlike Excitations of Instanton Liquid and New Scale of Non-Perturbative QCD....Pages 307-314 Vortices and Confinement....Pages 315-326 Some Pieces of Lattice Evidence in Favor of the Center-Vortex Picture of Color Confinement....Pages 327-334 Embedded Vortices and Their Interactions at Electroweak Crossover....Pages 335-338 Chirality Carried by Monopoles....Pages 339-343 Half-Integer Topological Charges Below and Above the Deconfinement Transition?....Pages 345-351 Phase Structure of Hot Gauge Theories with Matter Fields....Pages 353-356 Random Matrix Theory and Dirac Spectrum at Nonzero Temperature and Density....Pages 357-368 Short Strings and New Physics Perspectives in QCD....Pages 369-380 Back Matter....Pages 381-383 Proceedings of the NATO Advanced Research Workshop, Dubna, Russia, 5-9 October 1999