## Dirac equation for electron in EM and Higgs fields?

Is this the correct form for a Dirac electron in a Higgs field with scalar potential $\phi$ and an electromagnetic field with vector potential $A_\mu$

$i \gamma^\mu \partial_\mu \psi = g \phi \psi + e \gamma_\mu A^\mu \psi$

where $g$ is the coupling constant to the Higgs field and $e$ is the coupling constant to the electromagnetic field?
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 Quote by Bill_K Looks Ok to me. And φ = v + h.
Thanks a lot.

I guess v is the Higgs vacuum expectation value and h is the physical Higgs field.