Dirac equation for electron in EM and Higgs fields?

johne1618

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

[itex]i \gamma^\mu \partial_\mu \psi = g \phi \psi + e \gamma_\mu A^\mu \psi [/itex]

where [itex]g[/itex] is the coupling constant to the Higgs field and [itex]e[/itex] is the coupling constant to the electromagnetic field?

Bill_K

Looks Ok to me. And φ = v + h.

johne1618

Thanks a lot.

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