Cosmological Restrictions on Conformally Invariant SU(5) GUT Models
Abstract
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 larger 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) x SU(2) x U(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.
Keywords
Cite
@article{arxiv.gr-qc/9506093,
title = {Cosmological Restrictions on Conformally Invariant SU(5) GUT Models},
author = {Giampiero Esposito and Gennaro Miele and Luigi Rosa},
journal= {arXiv preprint arXiv:gr-qc/9506093},
year = {2010}
}
Comments
23 pages, plain-tex, published in Classical and Quantum Gravity, volume 10, pages 1285-1297, year 1993