Superasymptotic and hyperasymptotic approximation to the operator product expansion

Cesar Ayala, Xabier Lobregat, Antonio Pineda

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13 Citations (Scopus)

Abstract

© 2019 authors. Published by the American Physical Society.r(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . Given an observable and its operator product expansion, we present expressions that carefully disentangle truncated sums of the perturbative series in powers of α from the nonperturbative (NP) corrections. This splitting is done with NP power accuracy. Analytic control of the splitting is achieved and the organization of the different terms is done along an super/hyperasymptotic expansion. As a test we apply the methods to the static potential in the large β0 approximation. We see the superasymptotic and hyperasymptotic structure of the observable in full glory.
Original languageEnglish
Article number074019
JournalPhysical Review D
Volume99
DOIs
Publication statusPublished - 1 Apr 2019

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