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ketherok
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"Domain wall" from continuous symmetry
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Where does $\vert\mathcal{M}(k)\vert^2$ come from in the last equation, p235 in Peskin&Schroeder's book?
Why are they saying that what is left over in (7.52) is the square of the leading-order scattering amplitude? I cannot see it in (7.52).
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Why do we have $[\phi_1^+,:\phi_2\phi_3:]=:[\phi_1^+,\phi_2^-]\phi_3:+:\phi_2[\phi_1^+,\phi_3^-]:$?
Of course, in P&S it is $ϕ^+_1$ but I still have a problem to demonstrate that.
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Why do we have $[\phi_1^+,:\phi_2\phi_3:]=:[\phi_1^+,\phi_2^-]\phi_3:+:\phi_2[\phi_1^+,\phi_3^-]:$?
I think I am missing something, because for me, every normal ordered term containing one commutator (like both terms in the right-hand side of the original equation) should be equal to zero.
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Why do we have $[\phi_1^+,:\phi_2\phi_3:]=:[\phi_1^+,\phi_2^-]\phi_3:+:\phi_2[\phi_1^+,\phi_3^-]:$?
Actually, I did not demonstrate the last equation I wrote. I have just written the right-hand side of the original equation in an other way. Why the right-hand side $:[\phi_1,\phi_2\phi_3]:$ is non zero ?