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Dirac equation for electron in EM and Higgs fields?

by johne1618
Tags: dirac, electron, equation, fields, higgs
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johne1618
#1
Dec21-11, 09:32 AM
P: 373
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?
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Bill_K
#2
Dec21-11, 05:03 PM
Sci Advisor
Thanks
Bill_K's Avatar
P: 4,160
Looks Ok to me. And φ = v + h.
johne1618
#3
Dec21-11, 07:06 PM
P: 373
Quote Quote by Bill_K View Post
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.


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