Manual Geometry of Yang-Mills fields

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David Gross: Millennium Prize Problem: Yang Mills Theory

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Yang¿Mills Fields, Volume II

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Modern Differential Geometry in Gauge Theories Vol. 2 : Yang-Mills Fields

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This 's a part for any religion who is managing, holding and entering student kids! We show how to write the analogues of the Lorentz equations and the Bargmann-Michel-Tegledi equations for a classical particle in the presence of an external Yang-Mills field and relate these equations to a generalization of Souriau's principle of general covariance. We derive the analogue of Einstein-Maxwell identities from this same principle, and discuss some of its possible further ramifications.

Throughout this paper we shall use the language of differential geometry, in particular the theory of principal and associated bundles and symplectic geometry. In particular we use the phrase principal bundle instead of space of phase factors the phrase connection instead of Yang-Mills potential the phrase curvature instead of field strength and section of the principal bundle instead of choice of local gauge.

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GOV collections:. Title: Equations of motion of a classical particle in a Yang-Mills field and the principle of general covariance. Full Record Other Related Research. Abstract We show how to write the analogues of the Lorentz equations and the Bargmann-Michel-Tegledi equations for a classical particle in the presence of an external Yang-Mills field and relate these equations to a generalization of Souriau's principle of general covariance. Authors: Guillemin, V.