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Full Description
This book introduces a variety of aspects in nonperturbative Quantum Chromodynamics (QCD), focusing on the topological objects present in gauge theories. These objects, like magnetic monopoles, instantons, instanto-dysons, sphalerons, QCD flux tubes, etc, are first introduced individually and, later, treated collectively. As ensembles, they produce various phenomena that can be modeled numerically in lattice gauge theories and such collective effects, produced on the lattice, are extensively discussed in some chapters. In turn, the notion of duality, which is crucial in modern field/string theories, is elucidated by taking into consideration the electric-magnetic duality, the Poisson duality, and the AdS/CFT duality.
This monograph is based on various lectures given by Edward Shuryak at Stony Brook during the last three decades and it is meant for advanced graduate students and young researchers in theoretical and mathematical physics who are willing to consolidate theirknowledge in the topological phenomena encountered in fundamental QCD research.
Contents
Introduction.- Monopoles.- Monopole ensembles.- Fermions bound to monopoles.- Semiclassical theory based on Euclidean path integral.- Gauge field topology and instantons.- Topology on the lattice.- Instanton ensembles.- QCD correlation functions and topology.- Light-front wave functions, exclusive processes and instanton-induced quark interactions.- The topological landscape and the sphaleron path.- Sphaleron transitions in Big and Little Bangs.- Chiral matter.- Instanton-dyons.- Instanton-dyon ensembles.- The Poisson duality between the particle-monopole and the semiclassical (instanton) descriptions.- The QCD flux tubes.- Holographic Gauge-Gravity duality.- Holographic QCD.- Summary.
