New structures in scattering amplitudes: A review

2013/12/19 by Paolo Benincasa
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Field (mathematics) #Field theory (psychology) #Geometry #Locality #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Singularity #Theoretical physics #Tree (set theory) #Unitarity #hep-th

paper · pdf · doi:10.1142/s0217751x14300051

47 pages, 14 figures, Invited review in IJMPA

arxiv created 2013/12/19 · openalex publication_date 2014/02/18 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We review some recent developments in the understanding of field theories in the perturbative regime. In particular, we discuss the notions of analyticity, unitarity and locality, and therefore the singularity structure of scattering amplitudes in general interacting theories. We describe their tree-level structure and their on-shell representations, as well as the links between the tree-level structure itself and the structure of the loop amplitudes. Finally, we describe the on-shell diagrammatics recently proposed both on general grounds and in the remarkable example of planar supersymmetric theories.

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