# Dirac equation for electron in EM and Higgs fields?

1. Dec 21, 2011

### johne1618

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?

2. Dec 21, 2011

### Bill_K

Looks Ok to me. And φ = v + h.

3. Dec 21, 2011

### johne1618

Thanks a lot.

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