generating function of n-point function

guilhermef

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 n-point functions.

Thaks!

tom.stoer

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 J² term after setting J=0 all q-depenedent terms would vanish

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guilhermef	generating function of n-point function Tweet 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 n-point functions. Thaks!

tom.stoer Recognitions: Science Advisor	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 J² term after setting J=0 all q-depenedent terms would vanish