Naslov
Resummation in QFT with Meijer G-functions

Autori
Antipin, Oleg ; Maiezza, Alessio ; Vasquez, Juan Carlos

Izvornik
Nuclear physics. B (0550-3213) 941 (2019); 72-90

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
resummation ; renormalisation ; perturbation-theory ; borel transform ; gauge-theories

Sažetak
We employ a recent resummation method to deal with divergent series, based on the Meijer G-function, which gives access to the non-perturbative regime of any QFT from the first few known coefficients in the perturbative expansion. Using this technique, we consider in detail the model where we estimate the non-perturbative β-function and prove that its asymptotic behavior correctly reproduces instantonic effects calculated using semiclassical methods. After reviewing the emergence of the renormalons in this theory, we also speculate on how one can resum them. Finally, we resum the non-perturbative β- function of abelian and non-abelian gauge-fermion theories and analyze the behavior of these theories as a function of the number of fermion flavors. While in the former no fixed points are found, in the latter, a richer phase diagram is uncovered and illustrated by the regions of confinement, large-distance conformality, and asymptotic safety.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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