Fermionic symmetry breaking in a ten dimensional cosmological model

Details Fermionic symmetry breaking in a ten dimensional cosmological model Fermionic symmetry breaking in a ten dimensional cosmological model

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988crasb.306..335g&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II - Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Ter

Astronomy and Astrophysics

Astronomy

Astronomical Models, Broken Symmetry, Cosmology, Fermions, Space-Time Functions, Canonical Forms, Dirac Equation, Tensor Analysis, Wave Equations

Scientific paper

The effect of spontaneous symmetry breaking on the generalized Dirac equation for a ten-dimensional space-time is investigated. It is shown that a 10-dimensional fiber bundle with a canonical metric becomes a Riemannian manifold on which spinors can be introduced. The results suggest that the initial arbitrary choice of one of the equivalent minima of the symmetry breaking Higgs potential has an incidence upon the fermion quantum numbers, allowing the initial symmetry between matter and antimatter to be ruled out once the metastable state has been abandoned.

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