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QCD sum rules: Borel parameter vs Euclidean time
Phys. Rev. D 114, 074018 – Published 8 October, 2026
DOI: https://doi.org/10.1103/246r-cx17
Abstract
We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such Euclidean time sum rules and compare them with the traditional Borel sum rules. We show that a rough estimate of nucleon mass and residue is also possible working in coordinate space, but such sum rules are much more affected by the uncertainties in power corrections and continuum contribution than the Borel ones: the fiducial interval is practically absent. The Gaussian sum rules with the weight have roughly the same status as the Borel ones.
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