Physics
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2507l&link_type=abstract
Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2507-2513
Physics
10
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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