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Dark gauge fields have been discussed as candidates for dark matter recently.
If they existed, primordial dark magnetic fields during inflation would have
existed. It is believed that primordial gravitational waves (PGWs) arise out of
quantum fluctuations during inflation. We study the graviton-dark photon
conversion process in the presence of background primordial dark magnetic
fields and find that the process induces the tachyonic instability of the PGWs.
As a consequence, a peak appears in the power spectrum of PGWs. It turns out
that the peak height depends on the direction of observation. The peak
frequency could be in the range from $10^{-5}$ to $10^{3}$ Hertz for GUT scale
inflation. Hence, the observation of PGWs could provide a new window for
probing primordial dark magnetic fields.
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