Gauge Fields, Knots and Gravity

Name: Gauge Fields, Knots and Gravity
Price: 33.22 USD
Availability: InStock
ISBN: 9789810220341

ISBN-10: 9810220340

ISBN-13: 9789810220341

Edition: 1994

Authors: J. Baez, J. Muniain

List price: $59.00

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Description:

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to…

Book details

List price: $59.00
Copyright year: 1994
Publisher: World Scientific Publishing Co Pte Ltd
Binding: Paperback
Pages: 396
Size: 5.91" wide x 8.27" long x 1.00" tall
Weight: 1.386
Language: English



Preface



Electromagnetism



Maxwell's Equations



Manifolds



Vector Fields



Differential Forms



Rewriting Maxwell's Equations



DeRham Theory in Electromagnetism



Gauge Fields



Symmetry



Bundles and Connections



Curvature and the Yang-Mills Equation



Chern-Simons Theory



Link Invariants from Gauge Theory



Gravity



Semi-Riemannian Geometry



Einstein's Equation



Lagrangians for General Relativity



The ADM Formalism



The New Variables


Index