Causality and loop-tree duality at higher loops

Abstract

We relate a $l$-loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original $l$-loop graph. Causality requires that the propagators of the trees have a modified $i\delta$-prescription and we present a simple formula for the correct $i\delta$-prescription.

arXiv comment6 pages, v2: version to be published, v3: Theorem 1 corrected

References in corpus (1)

• Loops and trees

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