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## Main Question or Discussion Point

Dear @ll,

the central point (for the unitary gauge) in the higgs-mechanism is the equality

Φ = (v + η + iξ) = (v + η)e

Φ = complex scalar Field

v = vacuum that breaks the symmetry spontaneously

η,ξ = shifted fields.

I am unhappy that i did not found a derivation of this equation. Is it a triviality? Some people say that this is an exact equation (polar representation of the field ?). Other (Halzen,Martin) say that it is an approximation up to the lowest order only.

Can somebody help me and post a derivation of this equation ?

Thanks in advance

Ohs

the central point (for the unitary gauge) in the higgs-mechanism is the equality

Φ = (v + η + iξ) = (v + η)e

^{i(ξ/v)}(see for example Halzen, Martin: Quarks and Leptons, eq. 14.56)Φ = complex scalar Field

v = vacuum that breaks the symmetry spontaneously

η,ξ = shifted fields.

I am unhappy that i did not found a derivation of this equation. Is it a triviality? Some people say that this is an exact equation (polar representation of the field ?). Other (Halzen,Martin) say that it is an approximation up to the lowest order only.

Can somebody help me and post a derivation of this equation ?

Thanks in advance

Ohs

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