- #1

La Guinee

- 24

- 0

g[tex]^{2}[/tex]L = ([tex]\partial[/tex][tex]\phi[/tex])[tex]^{2}[/tex] - V([tex]\phi[/tex])

where V is a polynomial in [tex]\phi[/tex]. That is,

V = [tex]\Sigma[/tex]v[tex]_{n}[/tex][tex]\phi^{n}[/tex]

I am trying to calculate this using techniques of path integration and the lsz formula. I know the answer depends only on v[tex]_{2}[/tex], v[tex]_{3}[/tex], and v[tex]_{4}[/tex] but I don't understand why. When I tried calculating the 4-point green's function I got it depending only on v[tex]_{4}[/tex] so I must be doing something wrong, but I don't know what.