Time variation of proton-electron mass ratio and fine structure constant with runaway dilaton

Abstract

Recent astrophysical observations indicate that the proton-electron mass ratio and the fine structure constant have gone through nontrivial time evolution. We discuss their time variation in the context of a dilaton runaway scenario with gauge coupling unification at the string scale $M_{\mathrm{s}}$. We show that the choice of adjustable parameters allows them to fit the same order magnitude of both variations and their (opposite) signs in such a scenario.

16 pages, 1 figure, to appear in Phys. Rev. D

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