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

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 + i 0 prescription of the Feynman propagators. The new prescription regularizing the propagators, which we write in a Lorentz covarian...

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Bibliographic Details
Published in:Nuclear physics. Section B, Proceedings supplement Proceedings supplement, 2008-10, Vol.183, p.262-267
Main Authors: Rodrigo, Germán, Catani, Stefano, Gleisberg, Tanju, Krauss, Frank, Winter, Jan-C.
Format: Article
Language:English
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Summary: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 + i 0 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.
ISSN:0920-5632
1873-3832
DOI:10.1016/j.nuclphysbps.2008.09.114