How changing physical constants and violation of local position invariance may occur?

Physics – Atomic Physics

Scientific paper

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Scientific paper

10.1063/1.2915601

Light scalar fields very naturally appear in modern cosmological models, affecting such parameters of Standard Model as electromagnetic fine structure constant $\alpha$, dimensionless ratios of electron or quark mass to the QCD scale, $m_{e,q}/\Lambda_{QCD}$. Cosmological variations of these scalar fields should occur because of drastic changes of matter composition in Universe: the latest such event is rather recent (redshift $z\sim 0.5$), from matter to dark energy domination. In a two-brane model (we use as a pedagogical example) these modifications are due to changing distance to "the second brane", a massive companion of "our brane". Back from extra dimensions, massive bodies (stars or galaxies) can also affect physical constants. They have large scalar charge $Q_d$ proportional to number of particles which produces a Coulomb-like scalar field $\phi=Q_d/r$. This leads to a variation of the fundamental constants proportional to the gravitational potential, e.g. $\delta \alpha/ \alpha = k_\alpha \delta (GM/ r c^2)$. We compare different manifestations of this effect. The strongest limits $k_\alpha +0.17 k_e= (-3.5\pm 6) * 10^{-7}$ are obtained from the measurements of dependence of atomic frequencies on the distance from Sun (the distance varies due to the ellipticity of the Earth's orbit).

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