Pregled bibliografske jedinice broj: 1060573
Resurgence of the renormalization group equation
Resurgence of the renormalization group equation // Annals of physics, 415 (2019), 168126, 20 doi:10.1016/j.aop.2020.168126 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1060573 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Resurgence of the renormalization group equation
Autori
Bersini, Jahmall ; Maiezza, Alessio ; Vasquez, Juan Carlos
Izvornik
Annals of physics (0003-4916) 415
(2019);
168126, 20
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Renormalization, Renormalon, Renormalization group equation, Resurgence, Analyzable function
Sažetak
We show how the renormalons emerge from the renormalization group equation with a priori no reference to any Feynman diagrams. The proof is rather given by recasting the renormalization group equation as a resurgent equation studied in the mathematical literature, which describes a function with an infinite number of singularities in the positive axis of the Borel plane. Consistency requires a one-to-one correspondence between the existence of such kind of equation and the actual (generalized) Borel resummation of the renormalons through a one-parameter transseries. Our finding suggests how non-perturbative contributions can affect the running couplings. We also discuss these concepts within the context of gauge theories, making use of the large number of flavor expansion.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-4418 - Fizika teraskale na LHC-u i u svemiru (TsPhLC) (Antipin, Oleg, HRZZ - 2016-06) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
