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Self interacting scalar field
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[QUOTE="CAF123, post: 5308419, member: 419343"] Hi King vitamin, I have not seen the LSZ formula yet (except in books but it is not part of the course until next semester). I've seen that to calculate matrix elements from terms in the S matrix expansion that I take the term arising from the integral for a given n in the relevant equations above and compute ##\langle f|S^{(1)}|i\rangle##, where ##|i\rangle## are the two incoming bosons and ##|f\rangle## are the two outgoing bosons? I can write mode expansions for the scalar fields ##\psi_i(x_1)## and then split these into an annihilation piece and a creation piece which act on the initial state. So for two incoming bosons to two outgoing bosons, the matrix element is something like $$\langle f| \psi_1^{-} \psi_2^{-} \psi_3^{+}\psi_4^{+}|i\rangle,$$ reading from right to left, the two incoming particles are destroyed (via ##\psi_{3,4}^{+}##) and the two outgoing particles are created (via ##\psi_{1,2}^{-}##). Is that right? There is no set textbook but I just dip into Mandl/Shaw and Schwartz Thanks! [/QUOTE]
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