Spontaneous gauge-symmetry breaking in higher-dimensional theories

Physics

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Spontaneous Breaking Of Gauge Symmetries, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We investigate spontaneous breaking of gauge symmetries, isometry groups of extra spaces, in (4+N)-dimensional general relativities. The symmetry breaking SO(N+1)-->SO(N) is discussed, as a simple example. The problem reduces to a study of the effective potential's stability against deformation of the extra space, SN-->MNel, MNel being an N-dimensional ``elliptic'' manifold. Taking into account quantum effects of scalar fields on the effective potential, we show that such gauge symmetry breaking is possible, but only for N=5.

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