I am posting this question again because, Willie Wong asked me to do it. So it is a continuing post of the Interaction potential in standard ϕ4 theory.
I have been studying about solitions so I had to deal with scalar field theory. The problem I faced in Lagrangian of Scalar field is interacting potential.
According to Scalar field theory we can write: L=12∂μϕ∂μϕ−m22ϕ2−λ4!ϕ4
The potential can be written separately V(ϕ)=m22ϕ2+λ24ϕ4
I found on Srednicki (Quantum Field Theory, page 188) that, the author wrote the potential as, V(ϕ)=124λ(ϕ2−v2)2−λ24v4
After that the author excluded the term −λ24v4.
why is that?
In another paper an author wrote the potential as V(ϕ)=18ϕ2(ϕ−2)2
I don't see coupling constant λ in the equation (4).
What I'm trying to find is to get the potential in equation (4) from the equation (2)
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