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OverviewThe Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field. Full Product DetailsAuthor: M. D. MaiaPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2011 ed. Dimensions: Width: 15.50cm , Height: 1.00cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781489990242ISBN 10: 1489990240 Pages: 179 Publication Date: 01 October 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsThe Fundamental Interactions.- The Physical Manifold.- Symmetry.- The Algebra of Observables.- Geometry of Space-Times.- Scalar Fields.- Vector, Tensor, and Spinor Fields.- Noether's Theorem.- Bundles and Connections.- Gauge Field Theory.- Gravitation.ReviewsFrom the reviews: “The book, with a good amount of rigor, takes a ‘slice’ of all the aspects of the unifying math, and aligns them with Riemann geometry, and especially the Riemann tensor. … Highly recommended for those who want a fresh view of the real, current applications and value of Riemann, all the way beyond quaternions to octavians!” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, December, 2013) From the reviews: The book, with a good amount of rigor, takes a 'slice' of all the aspects of the unifying math, and aligns them with Riemann geometry, and especially the Riemann tensor. ... Highly recommended for those who want a fresh view of the real, current applications and value of Riemann, all the way beyond quaternions to octavians! (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, December, 2013) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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