A Stroll through the Loop-Tree Duality
José de Jesús Aguilera-Verdugo, Félix Driencourt-Mangin, Roger J. Hernández-Pinto, Judith Plenter, Renato Maria Prisco, Selomit Ramírez-Uribe, Andrés E. Rentería-Olivo, Germán Rodrigo, Germán F. R. Sborlini, William J. Torres Bobadilla, Francesco Tramontano
Abstract
The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.
Topics & Concepts
Duality (order theory)Loop (graph theory)Feynman diagramScattering amplitudeDual representationGravitational singularityScatteringEuclidean geometryRepresentation (politics)Euclidean spaceTree (set theory)MathematicsAmplitudeSpace (punctuation)Feynman integralPhysicsMathematical physicsPure mathematicsComputer scienceMathematical analysisDual (grammatical number)CombinatoricsGeometryQuantum mechanicsLiteraturePoliticsLawPolitical scienceArtOperating systemParticle physics theoretical and experimental studiesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics