Lord, Eric A (1987) A unified approach to the gauging of space-time and internal symmetries. In: General Relativity and Gravitation, 19 (10). pp. 983-1002.
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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 ldquotranslationalrdquo 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 ldquotrivialrdquo connection, namely the Maurer-Cartan form. Gauge transformations are all those diffeomorphisms onG that preserve the fiber-bundle structure.
|Item Type:||Journal Article|
|Additional Information:||copy right of this article belongs to Springer|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||12 Jan 2010 10:07|
|Last Modified:||19 Sep 2010 05:33|
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