Noncommutative Geometry and Particle Physics (Mathematical by Walter D. van Suijlekom PDF

By Walter D. van Suijlekom

ISBN-10: 9401791619

ISBN-13: 9789401791618

This e-book presents an advent to noncommutative geometry and offers a few its contemporary purposes to particle physics. it's meant for graduate scholars in mathematics/theoretical physics who're new to the sphere of noncommutative geometry, in addition to for researchers in mathematics/theoretical physics with an curiosity within the actual functions of noncommutative geometry. within the first half, we introduce the most strategies and strategies by way of learning finite noncommutative areas, delivering a “light” method of noncommutative geometry. We then continue with the overall framework through defining and studying noncommutative spin manifolds and deriving a few major effects on them, reminiscent of the neighborhood index formulation. within the moment half, we express how noncommutative spin manifolds clearly provide upward push to gauge theories, utilizing this precept to precise examples. We for this reason geometrically derive abelian and non-abelian Yang-Mills gauge theories, and at last the whole ordinary version of particle physics, and finish via explaining how noncommutative geometry may possibly point out easy methods to continue past the traditional Model.

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Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) by Walter D. van Suijlekom

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