Cosmological restrictions on conformally-invariant SU(5) GUT models

Details Cosmological restrictions on conformally-invariant SU(5) GUT models Cosmological restrictions on conformally-invariant SU(5) GUT models

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992crci.book.....e&link_type=abstract

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Physics

Broken Symmetry, Cosmology, Gauge Invariance, Grand Unified Theory, Hamiltonian Functions, Gauge Theory, Universe

Scientific paper

Dirac's theory of constrained Hamiltonian systems is applied to the minimal conformally-invariant SU(5) grand-unified model studied at 1-loop level in a de Sitter universe. For this model, which represents a simple and interesting example of GUT theory and at the same time is a step towards theories with large gauge group like SO(10), second-class constraints in the Euclidean-time regime exist. In particular, they enable one to prove that, to be consistent with the experimentally established electroweak standard model and with inflationary cosmology, the residual gauge-symmetry group of the early universe, during the whole de Sitter era, is bound to be SU(3)xSU(2)xU(1). Moreover, the numerical solution of the field equations subject to second-class constraints is obtained. This confirms the existence of a sufficiently long de Sitter phase of the early universe, in agreement with the initial assumptions.

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