H2020Индивидуална стипендия2017–2019

NewLoops · Higher-loop amplitudes on the sphere: a new approach to the perturbative expansion of quantum field theories

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2017-10-01 → 2019-09-30
Финансиране от ЕС: 175 420 €
Участници: 1
Схема: MSCA-IF

Линиите свързват координатора с партньорите.

Накратко на български

Взаимодействията между фундаменталните частици и силите, които ги свързват, се изследват чрез нов математически подход, съчетаващ твисторната теория и теорията на струните. Това помага за по-доброто разбиране на квантовата природа на материята и силите в нашата вселена.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Higher-loop amplitudes on the sphere: a new approach to the perturbative expansion of quantum field theories

"In this project, I was proposing to set up a new way to understand the interactions between fundamental particles, that constitute matter around us, and the forces that bind it together. Those forces include the familiar gravitationnal attraction, and electromagnetic force, but also those forces studied in the particle collider such as the LHC at CERN that bind the innermost constituants of matter ; the strong and the weak force. 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. "

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

Almost all we know about particle physics and the Standard Model comesfrom scattering experiments and our ability to predict them viascattering amplitudes (these measure probabilities of scatteringprocesses). To meet the impressive technological advances of particlecolliders like the Large Hadron Collider at CERN, new tools andconcepts have emerged over the last 25 years. More than givingmethods, they have triggered a revolution in our understanding of theformal microscopic structure of particle physics, a subject peoplethought they knew everything about.My program is based on a set of formulæ due to Cachazo, He & Yuan(CHY), that challenge the way we think about scatteringamplitudes. They relate to 'twistor' ideas and string theory. Theformer aims at manifesting the geometry of field theories, but failedso far to grasp their quantum-ness. The latter, in spite of itsmathematical beauty, has the drawback of having additionalcontributions that are hard to decouple from the field theoryones. The CHY formulæ retain the advantages of both methods, and leadto a variety of remarkable expressions for scattering amplitudes in aincreasing number of theories, including gauge, gravity and scalartheories.In a crucial work, I showed that these methods actually carry over tothe first quantum correction: this was the first time ever thattwistor methods were shown to work at the quantum level. My projectaims to extend this and reformulate the full pertubative quantumexpansion of field theories in the CHY language. This would be a majorconceptual advance. I explain that to do so will require to understanda more fundamental object called Null String, whose quantization willshed light on my 'quantum CHY formalism'. I also propose applicationsof the formalism of interest for LHC physic, like a third ordercalculation for the 2 to 3 gluon scattering in gauge theory, thatall other existing methods have failed to determine so far.

Оригинален текст от CORDIS (на английски).

Участници

ORGANISATION EUROPEENNE POUR LA RECHERCHE NUCLEAIRE · GENEVE 23КоординаторШвейцария