Noncovariant Gauges: Quantization Of Yang-mills And Chern-simons Theory In Axial-type Gauges Quantization of Yang-Mills and Chern-Simons Theory in Axial-Type Gauges

This text introduces a comprehensive mathematical formulation of the three-dimensional ocean acoustic propagation problem by means of functional and operator splitting techniques in conjunction with rational function approximations. It presents various numerical solutions of the model equation such as finite difference, alternating direction and preconditioning. The detailed analysis of the concept of 3D, N x 2D and 2D problems is useful not only mathematically and physically, but also computationally. The inclusion of a complete detailed listing of proven computer codes which have been in use by a number of universities and research organizations worldwide aims to make this book a valuable reference source. Advance knowledge of numerical methods, applied mathematics and ocean acoustics is not required to understand this book. It is oriented toward graduate students and research scientists to use for research and application purposes Some of the most effective gauges in field theory are non-covariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability. In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analyses of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of non-local terms Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability.In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms. Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability. In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms Some of the most effective gauges in field theory are non-covariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. This volume gives an account of the basic features and mathematical subtleties of these gauges, and of their enormous range of applicability.