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2018

Chiral photons from chiral gravitational waves

Inomata, Keisuke, Kamionkowski, Marc

Understand

We show that a parity-breaking uniform (averaged over all directions on the sky) circular polarization of amplitude $V_{00} \simeq 2.6 \times 10^{-17}\, \Delta \chi (r/0.06)$ can be induced by chiral gravitational-wave (GW) background with tensor-to-scalar ratio $r$ and chirality parameter $\Delta\chi$ (which is $\pm1$ for a maximally chiral background).

We also show, however, that a uniform circular polarization can arise from a realization of a non-chiral GW background that spontaneously breaks parity.
The magnitude of this polarization is drawn from a distribution of root-variance $\sqrt{< V_{00}^2>} \simeq 1.5\times 10^{-18}\, (r/0.06)^{1/2}$ implying that the chirality parameter must be $\Delta \chi \gtrsim 0.12 (r/0.06)^{-1/2}$ to establish that the GW background is chiral.
Although these values are too small to be detected by any experiment in the foreseeable future, the calculation is a proof of principle that cosmological parity breaking in the form of a chiral gravitational-wave background can be imprinted in the chirality of the photons in the cosmic microwave background.