• Open Access

Superasymptotic and hyperasymptotic approximation to the operator product expansion

Cesar Ayala, Xabier Lobregat, and Antonio Pineda
Phys. Rev. D 99, 074019 – Published 17 April 2019

Abstract

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.

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  • Received 22 February 2019

DOI:https://doi.org/10.1103/PhysRevD.99.074019

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsInterdisciplinary Physics

Authors & Affiliations

Cesar Ayala

  • Department of Physics, Universidad Técnica Federico Santa María (UTFSM), Casilla 110-V, Valparaíso, Chile

Xabier Lobregat and Antonio Pineda

  • Grup de Física Teòrica, Departament de Física and IFAE-BIST, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain

Article Text

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Issue

Vol. 99, Iss. 7 — 1 April 2019

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