Causality and Loop-Tree Duality at Higher Loops.

Phys Rev Lett

PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.

Published: March 2019

AI Article Synopsis

  • The text discusses how an l-loop Feynman integral can be expressed as a sum of phase space integrals linked to the spanning trees of the original loop graph.
  • Causality constraints dictate that the propagators in these trees must use a modified iδ prescription.
  • The authors provide a straightforward formula for determining the appropriate iδ prescription.

Article Abstract

We relate an 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 iδ prescription, and we present a simple formula for the correct iδ prescription.

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Source
http://dx.doi.org/10.1103/PhysRevLett.122.111603DOI Listing

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