Geometry of the Fundamental Interactions: On Riemann's Legacy to High Energy Physics and Cosmology
Autor M. D. Maiaen Limba Engleză Paperback – oct 2014
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.
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Specificații
ISBN-13: 9781489990242
ISBN-10: 1489990240
Pagini: 192
Ilustrații: IX, 179 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.28 kg
Ediția:2011
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1489990240
Pagini: 192
Ilustrații: IX, 179 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.28 kg
Ediția:2011
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.
Recenzii
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)
“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)
Textul de pe ultima copertă
Gravitation, electromagnetics and the two types of nuclear forces constitute the four fundamental forces of nature which regulate our everyday life. Amazingly, they are all described by a single idea of the 19th century proposed by Bernhard Riemann, and with the exception of gravitation, these ideas have been since confirmed by high energy experiments and cosmological observations. Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology is a mathematical narrative of how we have come to agree on such a complex plot of nature, starting with the basic geometrical concepts and ending with hints on the perspective for cosmology.
This book originated from lectures given for several years to a mixed audience of mathematicians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept of Riemann curvature came to occupy such a central position in physics. The author takes on the challenge of making the path toward understanding both accessible and interesting to a wide audience.
This book originated from lectures given for several years to a mixed audience of mathematicians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept of Riemann curvature came to occupy such a central position in physics. The author takes on the challenge of making the path toward understanding both accessible and interesting to a wide audience.
Caracteristici
Explains some of the most complex theories in physics in clear and understandable language Provides comprehensive information about three of the four fundamental forces of nature Offers an explanation of Yang-Mills theory, with many theoretical properties given in the form of examples Includes supplementary material: sn.pub/extras