From multileg loops to trees (by-passing Feynman's Tree Theorem)

Details From multileg loops to trees (by-passing Feynman's Tree Theorem) From multileg loops to trees (by-passing Feynman's Tree Theorem)

2008-07-03

arxiv.org/abs/0807.0531v1

Nucl.Phys.Proc.Suppl.183:262-267,2008

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the Proceedings of Loops and Legs in Quantum Field Theory, 2008, Sondershausen, Germany. 6 pages, uses axodraw

Scientific paper

10.1016/j.nuclphysbps.2008.09.11

We illustrate a duality relation between one-loop integrals and single-cut phase-space integrals. The duality relation is realised by a modification of the customary +i0 prescription of the Feynman propagators. The new prescription regularizing the propagators, which we write in a Lorentz covariant form, compensates for the absence of multiple-cut contributions that appear in the Feynman Tree Theorem. The duality relation can be extended to generic one-loop quantities, such as Green's functions, in any relativistic, local and unitary field theories.

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