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Z[J] is the generating functional of correlation functions
E[J]=-ilnZ[J] is the generating functional of connected correlation functions
Effective action $\Gamma[\phi_{cl}]$ is the generating functional of one-particle irreducible correlation functions
All these are presented rather clearly in 11.4 of Peskin's book.
E[J]=-ilnZ[J] is the generating functional of connected correlation functions
Effective action $\Gamma[\phi_{cl}]$ is the generating functional of one-particle irreducible correlation functions
All these are presented rather clearly in 11.4 of Peskin's book.
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