Disclaimer: I am not a Physicist. So please correct any misunderstanding that I may have.
From what I understand, a $2$-point Green function can be interpreted as the response at $x_2$, when you have a delta function source at point $x_1$. Is there a similar interpretation for $n$-point Green's functions, as in QFT for instance? I know they are defined as vacuum expectation values of a product of $n$-operators, possibly ordered in some way, but I don't understand how to relate the definition, with the much simpler description above.
Can anyone please clear my confusion?