Renormalon

In physics, a renormalon (a term suggested by 't Hooft) is a particular source of divergence seen in perturbative approximations to quantum field theories (QFT). When a formally divergent series in a QFT is summed using Borel summation, the associated Borel transform of the series can have singularities as a function of the complex transform parameter. The renormalon is a possible type of singularity arising in this complex Borel plane, and is a counterpart of an instanton singularity. Associated with such singularities, renormalon contributions are discussed in the context of quantum chromodynamics (QCD) and usually have the power-like form $\left(\Lambda/Q\right)^p$ as functions of the momentum $Q$ (here $\Lambda$ is the momentum cut-off). They are cited against the usual logarithmic effects like $\ln\left(\Lambda/Q\right)$ .

单词	Renormalon
释义	Renormalon 英语百科 Renormalon In physics, a renormalon (a term suggested by 't Hooft) is a particular source of divergence seen in perturbative approximations to quantum field theories (QFT). When a formally divergent series in a QFT is summed using Borel summation, the associated Borel transform of the series can have singularities as a function of the complex transform parameter. The renormalon is a possible type of singularity arising in this complex Borel plane, and is a counterpart of an instanton singularity. Associated with such singularities, renormalon contributions are discussed in the context of quantum chromodynamics (QCD) and usually have the power-like form $\left(\Lambda/Q\right)^p$ as functions of the momentum $Q$ (here $\Lambda$ is the momentum cut-off). They are cited against the usual logarithmic effects like $\ln\left(\Lambda/Q\right)$ .
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