Time Variations in the Scale of Grand Unification

Details Time Variations in the Scale of Grand Unification Time Variations in the Scale of Grand Unification

2002-09-12

arxiv.org/abs/hep-ph/0209134v2

Phys.Rev. D67 (2003) 015009

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, revtex4; Updated observational results and improved statistical analysis (section IV); added references

Scientific paper

10.1103/PhysRevD.67.015009

We study the consequences of time variations in the scale of grand unification, $M_U$, when the Planck scale and the value of the unified coupling at the Planck scale are held fixed. We show that the relation between the variations of the low energy gauge couplings is highly model dependent. It is even possible, in principle, that the electromagnetic coupling $\alpha$ varies, but the strong coupling $\alpha_3$ does not (to leading approximation). We investigate whether the interpretation of recent observations of quasar absorption lines in terms of time variation in $\alpha$ can be accounted for by time variation in $M_U$. Our formalism can be applied to any scenario where a time variation in an intermediate scale induces, through threshold corrections, time variations in the effective low scale couplings.

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