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Infrared Renormalons in Supersymmetric Theories

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arxiv 2211.05090 v1 pith:JXUPYUWW submitted 2022-11-09 hep-th

classification hep-th
keywords supersymmetricgluoninfraredleastrenormalonstheoryabsentambiguity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

I argue that in large-$N$ supersymmetric QCD infrared renormalons are absent in the conformal window, there is no need in conspiracy, and vacuum expectation values of at least some gluon operators vanish. Basing on this conclusion I conjecture that in supersymmetric gluodynamics (supersymmetric Yang-Mills theory without matter) at least the leading renormalon ambiguity disappears which would be consistent with the fact that the gluon condensate vanishes in this theory, $\langle G_{\mu\nu}^a G^{\mu\nu\,a}\rangle =0$.

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