Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
Abstract
Following the proposal of Gelfond and Vasiliev (2016 J. High Energy Phys. JHEP10(2016)067), multi-particle scattering amplitudes are represented as conserved higher-spin (HS) charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a closed form in the correspondence space unifying usual space-time with the twistor-like spinor space. This allows one to identify seemingly different formulae for amplitudes in terms of twistor and space-time integrals. An example of tree MHV amplitudes of Yang-Mills theory is considered in detail. Our results are derived using unfolded dynamics formulation of massless fields. In these terms all information on the amplitude is contained in a single function [ image ] that, even for lower spin amplitudes, can be interpreted as a HS symmetry parameter. The proposed technique can be useful to relate different approaches to amplitude calculations.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- September 2019
- DOI:
- 10.1088/1751-8121/ab1e08
- arXiv:
- arXiv:1810.11140
- Bibcode:
- 2019JPhA...52L4006G
- Keywords:
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- spinor formalism;
- multi-particle amplitiudes;
- higher-spin symmetry;
- High Energy Physics - Theory
- E-Print:
- 20 pages