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Some elementary gauge theory concepts

Author: Hong-Mo Chan; S T Tsou
Publisher: Singapore ; River Edge, N.J. : World Scientific, ©1993.
Series: World Scientific lecture notes in physics, v. 47.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Gauge theory, which underlies modern particle physics as well as the theory of gravity, and hence all of physics as we know it, is itself based on a few fundamental concepts. This volume outlines  Read more...

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Document Type: Book
All Authors / Contributors: Hong-Mo Chan; S T Tsou
ISBN: 9810210809 9789810210809 9810210817 9789810210816
OCLC Number: 29514253
Description: viii, 156 pages : illustrations ; 23 cm.
Contents: 1. Basic Concepts --
1.1. Electromagnetism --
1.2. Yang-Mills Theory --
1.3. Dirac Phase Factors --
1.4. Specification of Gauge Groups --
2. Monopoles --
2.1. Magnetic Charge as Topological Obstruction --
2.2. Nonabelian Monopoles --
2.3. Patching away the Dirac String --
2.4. Phase Transport with Patched Potentials --
2.5. Potentials for Nonabelian Monopoles --
2.6. Monopoles in Broken Symmetries --
3. Mathematical Interlude --
3.1. Homotopy Groups --
3.2. Lie Groups and Lie Algebras --
3.3. Differential Forms --
3.4. Fibre Bundles --
4. Loop Space Formulation --
4.1. Why Loop Space, and Why Not? --
4.2. Parametrized Loops and Derivative --
4.3. Connection, Curvature and Holonomy --
4.4. Monopoles as Sources of Curvature --
4.5. Extended Poincare Lemma --
5. Dynamics --
5.1. Interaction as Consequence of Topology --
5.2. Duality --
5.3. Classical Theory of Nonabelian Monopoles --
5.4. Dual Yang-Mills Theory --
5.5. Remarks --
6. Generalized Gauge Structures --
6.1. Preamble --
6.2. Group Manifold as Base Space --
6.3. Distinguishing Two Concepts of Locality --
6.4. Towards a 'Pointless' Theory.
Series Title: World Scientific lecture notes in physics, v. 47.
Responsibility: Chan Hong-Mo, Tsou Sheung Tsun.

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"It is an elegant little book, which despite its brevity, vividly provides all the groundwork and basic ideas of gauge theory -- so fundamental to modern theoretical physics." Roger Penrose Read more...

 
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