Alien Calculus and non perturbative effects in Quantum Field Theory
| Autor: | Marc P. Bellon |
|---|---|
| Přispěvatelé: | Université Paris-Sorbonne (UP4), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Physics and Astronomy (miscellaneous) FOS: Physical sciences field theory 01 natural sciences Schwinger–Dyson equations 11.10.Gh alien calculus High Energy Physics - Phenomenology (hep-ph) series resommation 0103 physical sciences Calculus medicine Quantum field theory Point function Calculus (medicine) Physics 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] renormalization group: solution effect: nonperturbative two-point function Borel transformation Renormalization group 16. Peace & justice medicine.disease singularity Massless particle Dyson-Schwinger equation High Energy Physics - Phenomenology 02.30.Lt High Energy Physics - Theory (hep-th) Gravitational singularity 010307 mathematical physics 11.15.Tk Non-perturbative |
| Zdroj: | Front.Phys.(Beijing) Front.Phys.(Beijing), 2016, 11 (6), pp.113201. ⟨10.1007/s11467-016-0580-7⟩ |
| DOI: | 10.48550/arxiv.1701.02294 |
| Popis: | In many domains of physics, methods are needed to deal with non-perturbative aspects. I want here to argue that a good approach is to work on the Borel transforms of the quantities of interest, the singularities of which give non-perturbative contributions. These singularities in many cases can be largely determined by using the alien calculus developed by Jean \'Ecalle. My main example will be the two point function of a massless theory given as a solution of a renormalization group equation. Comment: 4 pages, double-column |
| Databáze: | OpenAIRE |
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