Dynamical symmetry breaking due to radiative corrections in cosmology

Details Dynamical symmetry breaking due to radiative corrections in cosmology Dynamical symmetry breaking due to radiative corrections in cosmology

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..25.1510f&link_type=abstract

Physical Review D (Particles and Fields), Volume 25, Issue 6, 15 March 1982, pp.1510-1518

Physics

61

Scientific paper

Dynamical symmetry breaking in massless λφ4 theory in curved spacetime with non-conformal coupling to the curvature is investigated. It is shown that in general the one-loop self-energy for such a field will involve a term of the form R ln|Rμ-2|, where R is the scalar curvature, and μ is a mass. This term can give rise to symmetry breaking. Two models, the Einstein universe and a spatially flat Robertson-Walker universe with a power-law expansion, are considered where this term is the sole contribution to the one-loop self-energy. In both cases a phase transition will occur at a critical value of the curvature. The form of the two-loop corrections to the self-energy and the limits of validity of the one-loop approximation are discussed.

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