Renormalons beyond the Borel plane
نویسندگان
چکیده
The renormalon singularities are a known source of the divergent behavior asymptotic perturbative series from field theoretical models. These live in Borel plane and responsible for ambiguities physical plane. We propose that theories can have renormalons beyond usual first show an example with scalar theory where, considering chain cat's eyes diagrams, model develops Gevrey-3 series.
منابع مشابه
Renormalons Beyond One-Loop
Higher order renormalons beyond the chain of one-loop bubbles are discussed. A perturbation method for the infrared renormalon residue is found. The large order behavior of the current-current correlation function due to the first infrared renormalon is determined in both QED and QCD to the first three orders.
متن کاملImproved Conformal Mapping of the Borel Plane
The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory. We observe that the rate of convergence can be improved by the application of Padé approximants to the Borel transform expressed as a function of the co...
متن کاملPadé Approximants , Borel Transforms and Renormalons : the Bjorken Sum Rule as a Case Study
We prove that Padé approximants yield increasingly accurate predictions of higher-order coefficients in QCD perturbation series whose high-order behaviour is governed by a renormalon. We also prove that this convergence is accelerated if the perturbative series is Borel transformed. We apply Padé approximants and Borel transforms to the known perturbative coefficients for the Bjorken sum rule. ...
متن کاملBeyond Borel-amenability: Scales and superamenable reducibilities
We analyze the degree-structure induced by large reducibilities under the Axiom of Determinacy. This generalizes the analysis of Borel reducibilities given in [1], [6] and [5] e.g. to the projective levels.
متن کاملHurewicz-like Tests for Borel Subsets of the Plane
Let ξ ≥ 1 be a countable ordinal. We study the Borel subsets of the plane that can be made Πξ by refining the Polish topology on the real line. These sets are called potentially Πξ . We give a Hurewicz-like test to recognize potentially Πξ sets. 1. Preliminaries in dimension one Let us recall some results in dimension one before studying Borel subsets of the plane. In descriptive set theory, a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.103.025019