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I would appreciate it if anyone could help me with this problem: can there be any instantonic contribution to the following generic two-points function?

[tex]

\left \langle \varphi(x) \varphi(y) \right\rangle= \int D\varphi D A \varphi(x) \varphi(y) \exp \left( -S_E [\varphi,A] \right),

[/tex]

where [itex] S_E [/itex] is an Euclidean action, [itex] \varphi [/itex] bosonic field and [itex] A [/itex] is the gauge field.

I am not sure even if my question makes any sense. I have seen people calculate instability of the vacuum of the action [itex] S_E [/itex], which was just from the partition function. I do not know if I have to be careful about instantons when I calcualte a two-points function or not.

Thank you in advance!

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# Instanton contribution to two point function

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