The Higgs Field in the closed FLRW universe
Abstract
We consider SO(3) symmetric triplet of Higgs fields and SO(4) symmetric complex doublet of Higgs fields in the closed FLRW universe. For these models, Lagrangian densities provide effective potentials leading to spontaneous symmetry breaking which gives cosmological expectation value of the Higgs field and the Higgs mass. We find a relation which emerges between the size of the FLRW universe and cosmological vacuum expectation value of the Higgs field.
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