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arXiv · 1902.07736

Superasymptotic and hyperasymptotic approximation to the operator product expansion

Cesar Ayala·Xabier Lobregat·Antonio Pineda
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Abstract

Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of $\alpha$ from the non-perturbative (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/hyper-asymptotic expansion. As a test we apply the methods to the static potential in the large $\beta_0$ approximation. We see the superasymptotic and hyperasymptotic structure of the observable in full glory.

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Cesar Ayala, Xabier Lobregat, Antonio Pineda. 2019-02-20. Superasymptotic and hyperasymptotic approximation to the operator product expansion. https://doi.org/10.1103/physrevd.99.074019

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