Symmetry breaking and the Goldstone theorem in de Sitter space

Details Symmetry breaking and the Goldstone theorem in de Sitter space Symmetry breaking and the Goldstone theorem in de Sitter space

2011-10-14

arxiv.org/abs/1110.3187v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 2 figures

Scientific paper

We consider an O(N) symmetric scalar field model in the mean field approximation and show that the symmetry can be broken (down to O(N-1)) in de Sitter space. We find that the phase transition is of a first order, and that its strength depends non-analytically on the parameters of the model. We also show that the would-be Goldstone bosons acquire a mass, effectively becoming pseudo-Goldstone bosons. Our results imply that topological defects can form during inflation.

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