Spin Hall effect of light in inhomogeneous axion field
Mansoureh Hoseini, Mohammad Mehrafarin

TL;DR
This paper investigates how inhomogeneous axion fields in the early universe cause a spin Hall effect in light, leading to measurable fluctuations in cosmic ray paths due to primordial quantum fluctuations.
Contribution
It derives the spin Hall effect of light in inhomogeneous axion fields within a cosmological context, linking quantum fluctuations to observable cosmic ray path deviations.
Findings
Derived the spin Hall effect for circularly polarized light in axion fields.
Linked quantum fluctuations of axion fields to cosmic ray path fluctuations.
Proposed experimental methods to measure the root-mean-square fluctuations.
Abstract
We study the spin transport of light in weakly inhomogeneous axion field in a flat Robertson-Walker universe and derive the spin Hall effect for circularly polarized rays. Regarding primordial quantum fluctuations of the axion field in the de Sitter phase as the origin of the inhomogeneity, we show that the conformal invariance of the correlator determines the root-mean-square (r.m.s) fluctuations of the path of circularly polarized cosmic rays. We explain how the r.m.s fluctuations can be experimentally determined.
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