Download E-books Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) PDF

This ebook offers an creation to noncommutative geometry and provides a few its fresh functions to particle physics. it truly is meant for graduate scholars in mathematics/theoretical physics who're new to the sector 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 ideas and strategies by way of learning finite noncommutative areas, offering a “light” method of noncommutative geometry. We then continue with the final framework by way of defining and reading noncommutative spin manifolds and deriving a few major effects on them, similar to the neighborhood index formulation. within the moment half, we exhibit how noncommutative spin manifolds clearly supply upward thrust to gauge theories, utilising this precept to precise examples. We for that reason geometrically derive abelian and non-abelian Yang-Mills gauge theories, and finally the entire ordinary version of particle physics, and finish via explaining how noncommutative geometry could point out easy methods to continue past the traditional version.

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