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Geometry of the Fundamental Interactions By M. D. Maia

Geometry of the Fundamental Interactions by M. D. Maia

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$160,49
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Summary

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.

This book will be specially printed for your order, which means it may take a little longer to arrive (5 days). We do this to cut down on waste & to help protect our planet.

Geometry of the Fundamental Interactions Summary

Geometry of the Fundamental Interactions: On Riemann's Legacy to High Energy Physics and Cosmology by M. D. Maia

The 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.

Geometry of the Fundamental Interactions Reviews

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)

Table of Contents

The 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.

Additional information

NLS9781489990242
9781489990242
1489990240
Geometry of the Fundamental Interactions: On Riemann's Legacy to High Energy Physics and Cosmology by M. D. Maia
New
Paperback
Springer-Verlag New York Inc.
2014-10-01
179
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Geometry of the Fundamental Interactions