Weinberg Paper: Understanding Two Loop Corrections for Gravitational Force

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I have been reading a Weinberg paper (the cosmological constant problem), where he writes

"...Zeldovich assumed that these were canceled leaving only the higher order effects: in particulal, the gravitational force between the particles in the vacuum fluctuations. (In Feynman diagram terms, this corresponds to throwing away te one-loop graphs, but keeping those with two loops"

Can someone help me understand this. I thought QFT said nothing about gravity. Why do the two loops correspond to the gravitational force??
 
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anyone??

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You might have better luck if you cite the paper.
 
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