Riemann-Einstein Structure from Volume and Gauge Symmetry

Abstract

It is shown how a metric structure can be induced in a simple way starting with a gauge structure and a preferred volume, by spontaneous symmetry breaking. A polynomial action, including coupling to matter, is constructed for the symmetric phase. It is argued that assuming a preferred volume, in the context of a metric theory, induces only a limited modification of the theory.

LaTeX, 13 pages; Added additional reference in Reference 7

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