Renormalons beyond the Borel plane

Renormalons beyond the Borel plane

The renormalon singularities are a known source of the divergent behavior of asymptotic perturbative series from field theoretical models. These singularities live in the Borel plane and are responsible for ambiguities in the physical plane. We propose that field theories can have renormalons beyond...

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Veröffentlicht in:Physical review. D 2021-01, Vol.103 (2), p.1, Article 025019
1. Verfasser: Cavalcanti, E.
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Asymptotic properties
Asymptotic series
Field theory
Scalars
Singularities
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description The renormalon singularities are a known source of the divergent behavior of asymptotic perturbative series from field theoretical models. These singularities live in the Borel plane and are responsible for ambiguities in the physical plane. We propose that field theories can have renormalons beyond the usual first Borel plane. We show an example with a scalar field theory where, considering a chain of cat's eyes diagrams, the model develops a Gevrey-3 asymptotic series.
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subjects Asymptotic properties
Asymptotic series
Field theory
Scalars
Singularities
title Renormalons beyond the Borel plane
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