Causality and Loop-Tree Duality at Higher Loops

Robert Runkel (PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany) ; Zoltán Szőr (PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany) ; Juan Pablo Vesga (PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany) ; Stefan Weinzierl (PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany)

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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      "value": "We relate an <math><mi>l</mi></math>-loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original <math><mi>l</mi></math>-loop graph. Causality requires that the propagators of the trees have a modified <math><mi>i</mi><mi>\u03b4</mi></math> prescription, and we present a simple formula for the correct <math><mi>i</mi><mi>\u03b4</mi></math> prescription."
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Published on:
22 March 2019
Publisher:
APS
Published in:
Physical Review Letters , Volume 122 (2019)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevLett.122.111603
arXiv:
1902.02135
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: