New structures in scattering amplitudes: a review
arXiv:1312.5583 · doi:10.1142/S0217751X14300051
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. This review is partially based on lectures given at: Dipartimento di Fisica and INFN, Università di Bologna; Departamento de Fısica de Partıculas, Universidade de Santiago de Compostela; and as part of the program Strings@ar Lectures on Advanced Topics of High Energy Physics held at the IAFE
47 pages, 14 figures, Invited review in IJMPA
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- Cosmological Cutting Rules
- Building a Boostless Bootstrap for the Bispectrum
- From Locality and Unitarity to Cosmological Correlators
- The Boostless Bootstrap: Amplitudes without Lorentz boosts
- Cosmological Polytopes and the Wavefunction of the Universe
- On the time evolution of cosmological correlators
- Bootstrapping Large Graviton non-Gaussianities
- Amplitudes meet Cosmology: A (Scalar) Primer
- On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space
- Lie-algebraic classification of effective theories with enhanced soft limits
- The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
- Spatially covariant gravity with two degrees of freedom: perturbative analysis
- Non-uniqueness of massless transverse-traceless graviton
- Taming higher-derivative interactions and bootstrapping gravity with soft theorems
- On-shell diagrams and the geometry of planar N < 4 SYM theories
- On-shell diagrammatics and the perturbative structure of planar gauge theories
- Geometry of Multi-Flavor Galileon-Like Theories
- BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
- The Boostless Bootstrap and BCFW Momentum Shifts
- Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
- On 10D SYM superamplitudes
- A First Step Towards Effectively Nonperturbative Scattering Amplitudes in the Perturbative Regime