Analyticity domain of a Quantum Field Theory and Accelero-summation
| Autor: | Pierre J. Clavier, Marc P. Bellon |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Renormalization [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] Complex system FOS: Physical sciences Acceleration (differential geometry) Borel summation field theory 01 natural sciences Alien calculus High Energy Physics - Phenomenology (hep-ph) Accelero-summation 0103 physical sciences 0101 mathematics Quantum field theory field theory: renormalization Mathematical Physics Mathematical physics Mathematics Laplace transform [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 010102 general mathematics Laplace Statistical and Nonlinear Physics Accelero–summation Mathematical Physics (math-ph) Function (mathematics) Borel transformation Borel transform analytic properties High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] Domain (ring theory) 010307 mathematical physics |
| Zdroj: | Lett.Math.Phys. Lett.Math.Phys., 2019, 109 (9), pp.2003-2011. ⟨10.1007/s11005-019-01172-0⟩ |
| Popis: | From 't Hooft's argument, one expects that the analyticity domain of an asymptotically free quantum field theory is horned shaped. In the usual Borel summation, the function is obtained through a Laplace transform and thus has a much larger analyticity domain. However, if the summation process goes through the process called acceleration by Ecalle, one obtains such a horn shaped analyticity domain. We therefore argue that acceleration, which allows to go beyond standard Borel summation, must be an integral part of the toolkit for the study of exactly renormalisable quantum field theories. We sketch how this procedure is working and what are its consequences. Comment: 6 pages |
| Databáze: | OpenAIRE |
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