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Causality and loop-tree duality at higher loops
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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.
Forward citations
Cited by 2 Pith papers
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Cosmological phase transitions without high-temperature expansions
A hard-soft split combined with a finite-temperature Loop-Tree Duality method computes the resummed 4d thermal effective potential without high-temperature expansions, demonstrated in a scalar-Yukawa model.
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The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...
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