Retrieving "Gauge Boson Mass" from the archives

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1. Abelian Higgs Model

   Linked via "gauge boson mass"

   $$\mathcal{L}{\text{Mass}} = e^2 \langle \phi \rangle^2 A{\mu} A^{\mu} = \frac{1}{2} e^2 v^2 A_{\mu} A^{\mu}$$
   This term is the mass term for the gauge boson $A{\mu}$. The resulting gauge boson mass, $MA$, is thus:
   $$M_A = e v$$
   This demonstrates that the gauge boson acquires mass proportional to the gauge coupling constant $e$ and the VEV $v$, while the photon (the massless gauge boson asso…