Spontaneous symmetry breaking as a result of extra dimensions compactification

Abstract

We consider dynamics of a scalar field in compactification scenario of Einstein-Gauss-Bonnet cosmology. It is shown that if the field is non-minimally coupled to curvature, its asymptotic value under certain conditions may be shifted from the minimum of its potential. This means that due to influence of extra dimensions a scalar field with $\lambda {\varphi }^4$ potential can stabilise away from $\varphi =0$ stable point which means an effective symmetry breaking occurs in such a system.

10 pages, 2 figures, 2 tables

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Cited by in corpus (2)

• Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
• Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors