"In regards to the mechanism, Brout and Englert make some comments, but give no quantitative argument. In the Higgs PRL paper, there is only the specific scalar electrodynamics example. In his physics letters paper Higgs observed that an argument given by Gilbert to negate the Goldstone theorem includes a term with a fixed vector such as can be found in radiation gauge electrodynamics. He makes no follow-up or extension of this argument in his PRL paper. The GHK paper does an extensive analysis of the mechanism and shows that in broken gauge theories in the radiation gauge that charge leaks out of any volume and consequently is not conserved since currents continue to exist in the limit of volumes tending toward infinity. This negates the basic assumption of a conserved charge that is required by the Goldstone theorem."
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Gerald S. Guralnik: (quote from pp. 8–9)
https://en.wikiquote.org/wiki/Higgs_boson
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