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Apr 13, 2017 at 12:39 history edited CommunityBot
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Sep 14, 2015 at 15:41 comment added Rococo @WetSavannaAnimalakaRodVance Thanks but it is really a rather bogus argument to be honest. But don't worry, I have a rebuttal to myself in the works ;).
Sep 14, 2015 at 15:11 comment added pathintegral OK. Assuming photon IS massive and there is the analog of Meissner effect, I came up with this estimate. Light energy is of order of eV, this should the. also be the order of magnitude of quasi-photon mass. This ~1eV energy corresponds to a screening length scale of 1$\mu m$, which is nothing but typical light wavelength. This is consistent with @WetSavannaAnimal aka Rod Vance's calculation. So the question is still open...
Sep 14, 2015 at 6:49 comment added Selene Routley @Rococo BTW, you may still be onto something (I wondered whether I should say anything at all). I make the Yukawa decay constant for a mass of $1eV$ to be $\hbar/(m\,c)\approx 0.2{\rm \mu m}$, so that doesn't seem to explain things, at least if one does a naive calculation like this.
Sep 14, 2015 at 1:54 comment added Selene Routley @Rococo Most elegant thinking: very good point. Although a globally constant refractive index has a Hilbert transform of nought.
Sep 14, 2015 at 1:44 comment added Rococo @pathintegral, I think this might be on the right track. Any medium with a refractive index must necessarily have a non-zero absorption (due to Kramers-Kroenig), so light will always be attenuated in something like an exponential way as in the Beer-Lambert law. One could then choose to interpret this as the behavior of a Yukawa field with associated photon mass, we just generally don't use that picture in normal materials in practice.
Sep 13, 2015 at 21:32 comment added Selene Routley @pathintegral Careful - I said the massive disturbance in a medium has a non-Lorentz covariant equation. The Proca equation is Lorentz covariant.
Sep 13, 2015 at 19:53 comment added pathintegral However, I don't quite agree that the equation for a massive photon is not Lorentz-covariant -- There are plenty of massive particles that are described by relativistic QFT.
Sep 13, 2015 at 19:52 comment added pathintegral Thanks! I'm particularly impressed by that even for n=1.5, v~2/3 c, the mass of the photon is still very small. I suspect that if one compares this mass with the mass of photon in the superconductor, one can explain why Meissner effect is not observed in regular media.
Sep 13, 2015 at 5:43 history answered Selene Routley CC BY-SA 3.0