6533b831fe1ef96bd12998e3
RESEARCH PRODUCT
From multileg loops to trees (by-passing Feynman's Tree Theorem)
Jan-christopher WinterGerman RodrigoTanju GleisbergFrank KraussStefano Catanisubject
High Energy Physics - TheoryNuclear and High Energy PhysicsLorentz transformationPropagatorFOS: Physical sciencesFísicaField (mathematics)Unitary stateAtomic and Molecular Physics and OpticsDuality relationsymbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symbolsFeynman diagramCovariant transformationTree (set theory)MathematicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-01 |