Spontaneously Broken Su ( 5 ) Symmetries and One - Loop Effects in the Early Universe ∗
نویسنده
چکیده
This paper studies one-loop effective potential and spontaneous-symmetrybreaking pattern for SU(5) gauge theory in De Sitter space-time. Curvature effects modify the flat-space effective potential by means of a very complicated special function previously derived in the literature. An algebraic technique already developed by the first author to study spontaneous symmetry breaking of SU(n) for renormalizable polynomial potentials is here generalized, for SU(5), to the much harder case of a De Sitter background. A detailed algebraic and numerical analysis provides a better derivation of the stability of the extrema in the maximal subgroups SU(4)×U(1), SU(3)×SU(2)×U(1), SU(3)×U(1)×U(1)×R311, SU(2)× SU(2)× U(1)× U(1) × R2211, where R311 and R2211 discrete symmetries select
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