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The dilute interacting Bose gas: comparisons between Feynman diagrammatic expansion and the hierarchy equations for the imaginary time Green functions

The dilute interacting Bose gas: comparisons between Feynman diagrammatic expansion and the hierarchy equations for the imaginary time Green functions

Abstract We analyze the correspondence between two formalisms describing an interacting Bose gas, namely the standard Feynman diagrammatic expansion on the one hand, and the hierarchy equations for the imaginary-time Green functions on the other hand. We show that the Hartreeā€“Fock approximation, as well as its first corrections at low ā€¦