Algebraic interpretation of the Yang-Mills field

Details Algebraic interpretation of the Yang-Mills field Algebraic interpretation of the Yang-Mills field

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..707s&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 7, pp.707-711

Physics

1

Scientific paper

Einstein's principle of general relativity is a dynamical-group approach in that all dynamics is implied by the invariance and no force is introduced (as an external, symmetry-breaking factor). In this spirit we take a Poincaré-invariant free wave equation and, deforming the Poincaré group to the de Sitter group, obtain interaction. This illustrates our algebraic approach to gauge invariance, whereby the (generalized) Maxwell tensor of the Yang-Mills field appears as structure constants of the homogeneous algebra obtained as a deformation of an inhomogeneous one, with interaction appearing via the same tensor, which plays a role corresponding to the curvature tensor in Einstein's general relativity.

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