
#1
Mar412, 05:06 PM

P: 2

Hey guys, I have a doubt.
I was wondering if it is possible to have a generating function Z[J] where its integral has not a linear dependence on J(t), but a quadratic or even cubic dependence, like Z[J]=∫Dq exp{S[q] + ∫ J²(t) q(t)dt}, and how this would alter the calculation of the npoint functions. Thaks! 



#2
Mar512, 01:07 AM

Sci Advisor
P: 5,307

It's not reasonable b/c you introduce the source J only to construct the npoint functions for vanishing source J=0; with a J² term after setting J=0 all qdepenedent terms would vanish



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