By M. D. Maia

ISBN-10: 1441982728

ISBN-13: 9781441982728

ISBN-10: 1489990240

ISBN-13: 9781489990242

The Yang-Mills conception of gauge interactions is a main instance of interdisciplinary arithmetic and complicated physics. Its historic improvement is an engaging window into the continuing fight of mankind to appreciate nature. the invention of gauge fields and their homes is the main bold landmark of recent physics. The expression of the gauge box energy because the curvature linked to a given connection, areas quantum box concept within the similar geometrical footing because the gravitational box of basic relativity that's obviously written in geometrical phrases. the knowledge of such geometrical estate may also help sooner or later to jot down a unified box idea ranging from symmetry rules.

Of path, there are amazing transformations among the normal gauge fields and the gravitational box, which needs to be understood by means of mathematicians and physicists ahead of trying such unification. specifically, it is very important comprehend why gravitation isn't really a typical gauge field.

This booklet provides an account of the geometrical homes of gauge box idea, whereas attempting to retain the equilibrium among arithmetic and physics. on the finish we'll introduce an analogous method of the gravitational field.

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

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