Lattice Fermions and Structure of the Vacuum [Paperback]

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.Proceedings of the NATO Advanced Research Workshop, Dubna, Russia, 5-9 October 1999Among 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.Remarks on Domain-wall fermions; M. Creutz. Domain-wall fermions in vector theories; P.M. Vranas. Better Domain-wall fermions; Y. Sharmir. Truncated overlap fermions: The link between overlap and Domain-wall fermions; A. Bori?i. Topology and chiral symmetry in QCD with overlap fermions; R.G. Edwards, et al. First Experiences with HMC for Dynamical Overlap Fermions; A. Bode, et al. Some answered and unanswered questions about the structure of the set of fermionic Actions with GWL symmetry; I. Horvath. Optimizing chirality and scaling of lattice fermions; W. Bietenholz. Chiral symmetry breaking in strongly couples 1+1 dimensional lattice gauge theories; F. Berruto, et al. Regularization and anomalies in gauge theory; F. Fujikawa. Chiral symmetry outside perturbation theory; H. Neuberger. Dirac operator normilty and chiral fermions on the lattice; W. Kerler. Abelian and nonabelian lattice chiral gauge theories through gauge fixing; W. Bock, et al. On the eta-invariant in the 4D chiral U (1) theory; V. Bornyakov, et al. Overview of the chiral fermions on l£8