Non-Wilsonian ultraviolet completion via transseries

Maiezza, Alessio; Vasquez, Juan Carlos (2021) Non-Wilsonian ultraviolet completion via transseries. International Journal of Modern Physics A, 36 (02). ISSN 0217-751X

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Abstract

We study some of the implications for the perturbative renormalization program when augmented with the Borel-Ecalle resummation. We show the emergence of a new kind of nonperturbative fixed point for the scalar phi 4 model, representing an ultraviolet self-completion by transseries. We argue that this completion is purely non-Wilsonian and it depends on one arbitrary constant stemming from the transseries solution of the renormalization group equation. On the other hand, if no fixed points are demanded through the adjustment of this arbitrary constant, we end up with an effective theory in which the scalar mass is quadratically-sensitive to the cutoff, even working in dimensional regularization. Complete decoupling of the scalar mass to this energy scale can be used to determine a physical prescription for the Borel-Laplace resummation of the renormalons in nonasymptotically free models. We also comment on possible orthogonal scenarios available in the literature that might play a role when no fixed points exist.

Item Type:	Article
Uncontrolled Keywords:	Renormalization; renormalons; resurgence; renormalization group; fixed points
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Fizika teraskale na LHC-u i u svemiru-TsPhLC Oleg Antipin IP-2016-06-4418 HRZZ
Depositing User:	Ema Buhin Šaler
Date Deposited:	22 Apr 2026 09:18
URI:	https://fulir.irb.hr:/id/eprint/11779
DOI:	10.1142/S0217751X21500160

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