Periodic Reporting for period 1 - NewLoops (Higher-loop amplitudes on the sphere: a new approach to the perturbative expansion of quantum field theories)
Période du rapport: 2017-10-01 au 2019-09-30
The new way to understand the interactions between the particles emerged from a cross-over between several different ideas, which used to be thought of as disconnected. Some ideas from pure mathematical geometry by the famous british mathematician from Oxford Roger Penrose from the 60's (the so-called twistor theory), and some ideas coming from one of the most fertile areas of modern theoretical physics : string theory. For a long time the two ideas coexisted but the physicists could not use them together. It is only recently (2013) that some hints to a fusion were discovered, by means of a new theory called ""Ambitwistor strings"" and in my paper form 2015 [Phys.Rev.Lett. 115 (2015) 121603 ""Loop Integrands for Scattering Amplitudes from the Riemann Sphere"", Y. Geyer, L. Mason, R. Monteiro, P. Tourkine], that we realised how to use this formalism to understand the simplest quantum aspects of the particle physics. Since particle physics is inherently quantum, my project was to develop a formalism to capture the full quantum nature of the interactions (in technical terms, compute all the loop corrections in the perturbative expansion of the scattering amplitudes).
Due to the theoretical nature of the project, the interest for society lies mostly in the interest of the general public for the purely academic questions revolving around the origin of the universe, the nature of matter, space, time, etc. This project definitely fits in this category of questions. Due to its unfortunate termination before its end, it could not be completed. There is no doubt however, that when I am to succeed in the future, these results would easily be able to go outside of the purely academic world, in the form of divulgation articles in non specialised journals, or other science blogs, as the results would be truly inovative and revolutionnary.
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The impacts of this new formula will therefore be really significant, both for particle phsyics, and mathematics, and one would definitely hopes that this also has implication to the detection of gravitational waves and maybe beyond."