A unified approach to the gauging of space-time and internal symmetries.

Details A unified approach to the gauging of space-time and internal symmetries. A unified approach to the gauging of space-time and internal symmetries.

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..983l&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 10, pp.983-1002

Computer Science

14

Field Theories:Space-Time

Scientific paper

The properties of the manifold of a Lie groupG, fibered by the cosets of a sub-groupH, are exploited to obtain a geometrical description of gauge theories in space-timeG/H. Gauge potentials and matter fields are pullbacks of equivariant fields onG. Our concept of a connection is more restricted than that in the similar scheme of Ne'eman and Regge, so that its degrees of freedom are just those of a set of gauge potentials forG, onG/H, with no redundant components. The “translational” gauge potentials give rise in a natural way to a nonsingular tetrad onG/H. The underlying groupG to be gauged is the groupG of left translations on the manifoldG and is associated with a “trivial” connection, namely the Maurer-Cartan form. Gauge transformations are all those diffeomorphisms onG that preserve the fiber-bundle structure.

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