Hedgehog compactification

Details Hedgehog compactification Hedgehog compactification

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.3474g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 8, 15 April 1993, pp.3474-3475

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Field Theories In Dimensions Other Than Four, Exact Solutions

Scientific paper

We show that the presence of a hedgehog field configuration of a Higgs field, which causes spontaneous symmetry breaking of the internal symmetry, can also cause spontaneous compactification of two of the dimensions into a two-sphere. In contrast with other mechanisms of spontaneous compactification, when the higher-dimensional cosmological constant is zero, we still get a zero effective four-dimensional cosmological constant, and not a large negative curvature of four-dimensional space. In the models in which this mechanism works, the scale of symmetry breaking is fixed self-consistently to be the Planck scale.

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