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Correlated three-particle Green Function
I know the relationship between normal and correlated two-particle Green Functions for fermions:$$G_c(1,2,3,4)=\Gamma(1,2,3,4)=G(1,2,3,4)+G(1,3)G(2,4)-G(1,4)G(2,3)$$Also known as irreducible n-particle...
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I was able to confirm both of your formulas, assuming that the operators are fermionic and normal ordered.Here is the general algorithm for generating a cumulant average of $n$ variables (taken from...
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