4 problems
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Maiezza et al.'s conjecture relating UV renormalons to the Haag theorem
UV renormalons arise from factorially divergent perturbative series associated with logarithmic ultraviolet behavior, while the Haag theorem gives a no-go result concerning the sel…
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All Adler-function Borel singularities conjecture
All-singularities conjecture. At all orders in , all singularities of the full Adler function become logarithmic branch-cut singularities, except for a potential IR singular…
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The logarithmic chain-link criterion for renormalons
A chain-link is a function of the integration scale . A renormalon is a singularity in the Borel transform associated with the divergent perturbative sum of a set of chains.…
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The absence of infrared renormalon singularities in four-dimensional theories
Absence-of-IR-renormalons conjecture. Four-dimensional theories do not have infrared renormalon-type singularities.