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Recently I read in an essay by Wilczek:

"Photons are mixtures of weak B3 and hypercharge C mesons. It is those objects, not the emergent photon, whose properties are ideally simple."

Until now I thought that photons are elementary massless spin-1 bosons that arise as gauge bosons for the $U(1)$ symmetry in (quantized) electrodynamics. They can be described by a four-vector $A_\mu$ including two unphysical degrees of freedom that can be eliminated by introducing the gauge-invariant four-rotation $F_{\mu\nu} := \partial_\mu A_\nu - \partial_\nu A_\mu$ so that only the two polarisations (helicity $h = \pm 1$) remain.

Where does the emergence of the photon come from? Is this related to electroweak symmetry breaking and the Higgs field? Why are mesons (hadrons) mentioned??

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  • $\begingroup$ See the Wikipedia article on EW symmetry breaking. Above the EW transition neither the photon nor the Z exist. They appear at low energies due to mixing of two of bosons that exist before the EW symmetry is broken. I guess Wilczek's point is that the higher symmetry before the EW transition makes the physics simpler. $\endgroup$
    – John Rennie
    Feb 8 '15 at 16:27
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    $\begingroup$ Photons are not a mixture of mesons (which would be quark-antiquark pairs). They simply are a mixture of two other electroweak gauge bosons such that their combination remains massless after the Higgs SSB. (Mass eigenstates are the "naive" physical states) I've never heard the word emergence being used to describe that, and I do not understand the question. $\endgroup$
    – ACuriousMind ♦
    Feb 8 '15 at 16:30
  • $\begingroup$ Exactly, this sentence with "mixtures of mesons" is what I dont understand in the essay by Wilczek. I understand the spontaneous breaking of EW symmetry, but I only knew mesons as hadrons until now! $\endgroup$
    – quantumorsch
    Feb 8 '15 at 16:37
  • $\begingroup$ It seems obvious from the context that Wilczek means gauge bosons not mesons. $\endgroup$
    – John Rennie
    Feb 8 '15 at 16:44
  • $\begingroup$ I vaguely remember reading of an 'archaic' use of "meson" to mean intermediate vector boson. For an example from 1967, see this which refers to a "... the W meson or intermediate boson..." $\endgroup$
    – Alfred Centauri
    Feb 8 '15 at 22:31
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Is this related to electroweak symmetry breaking and the Higgs field?

Yes. There is a particular mixture of the $W^0$ and $B$ bosons that propagates freely in the Higgs field condensate; this freely propagating state is the photon.

Why are mesons (hadrons) mentioned??

There was a time when the weak intermediate vector bosons were referred to as "W mesons". For example, see this APS paper from 1964, Mass and Interactions of the W Meson

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