Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 9 figures, format for Phys. Rev. D
Scientific paper
We investigate whether a mass scale for elementary particles can be derived from interactions of particles with distant matter in the Universe, the mechanism of the interaction being the classical vector potential, propagating in a space of negative curvature. A possible context for such a mass scale is conformal gravity. This theory may prove to be renormalizable, since all coupling constants are dimensionless; conversely, however, there is no coupling constant analogous to the conventional G to provide a starting point for a mass scale calculation. We obtain the equations for propagation of the vector potential of a charged particle moving in a plasma in a curved space. We then show that distant matter will contribute to A**2, and that this non-thermal part will eventually dominate the ordinary thermal part. At this point a symmetry breaking transition of the Coleman-Weinberg type is possible, and particle masses can be generated with m**2 of order A**2.
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