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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology (Paperback, 2011 ed.)
Loot Price: R2,873
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Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology (Paperback, 2011 ed.)
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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.
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