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Some Elementary Gauge Theory Concepts

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ISBN-10: 9810210809

ISBN-13: 9789810210809

Edition: N/A

Authors: H. M. Chan, S. T. Tsou

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Gauge theory, which underlies modern particle physics as well as the theory of gravity, and hence all of physics as we know it today, is itself based on a few fundamental concepts, the consequences of which are often as beautiful as they are deep. Unfortunately, in view of the pressure to cover aspects of the theory that are necessary for its many important applications, very little space is usually devoted in textbooks and graduate courses to the treatment of these concepts. The present small volume is an attempt to help in some degree to redress this imbalance in the literature.The topics covered are elementary in the sense of being basic, not in the sense of being shallow or easy.…    
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Book details

Publisher: World Scientific Publishing Co Pte Ltd
Binding: Hardcover
Pages: 164
Size: 6.50" wide x 9.00" long x 0.50" tall
Weight: 0.748
Language: English

Dr. Tsou Sheung Tsun obtained her B.Sc. in Hong Kong and her Doctorat esSciences in Geneva. She has held research fellowships at Wadham College, Oxford, and at the Mathematical Institute, Oxford, where she is now on the Faculty. Trained both as a mathematician and a physicist, Dr. Tsou has worked in gauge theory, string theory and particle physics. Recently she has concentrated on theoretical problems connected with the generation puzzle, neutrino oscillation and electric-magnetic duality. She is also active in the European Mathematical Society and European Women in Mathematics.

Basic Concepts
Yang-Mills Theory
Dirac Phase Factors
Specification of Gauge Groups
Magnetic Charge as Topological Obstruction
Nonabelian Monopoles
Patching away the Dirac String
Phase Transport with Patched Potentials
Potentials for Nonabelian Monopoles
Monopoles in Broken Symmetries
Mathematical Interlude
Homotopy Groups
Lie Groups and Lie Algebras
Differential Forms
Fibre Bundles
Loop Space Formulation
Why Loop Space, and Why Not?
Parametrized Loops and Derivative
Connection, Curvature and Holonomy
Monopoles as Sources of Curvature
Extended Poincare Lemma
Interaction as Consequence of Topology
Classical Theory of Nonabelian Monopoles
Dual Yang-Mills Theory
Generalized Gauge Structures
Group Manifold as Base Space
Distinguishing Two Concepts of Locality
Towards a 'Pointless' Theory