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Generating function of n-point function

by guilhermef
Tags: function, generating, npoint
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Mar4-12, 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] + ∫ J(t) q(t)dt}, and how this would alter the calculation of the n-point functions.

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Mar5-12, 01:07 AM
Sci Advisor
P: 5,451
It's not reasonable b/c you introduce the source J only to construct the n-point functions for vanishing source J=0; with a J term after setting J=0 all q-depenedent terms would vanish

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