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The absence of IR renormalons in gauge theories on R3×S1 and what it means for resurgence

URN to cite this document:
urn:nbn:de:bvb:355-epub-323247
DOI to cite this document:
10.5283/epub.32324
Sulejmanpasic, Tin ; Anber, Mohamed M.
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Date of publication of this fulltext: 06 Aug 2015 12:30



Abstract

We analyze the renormalon diagram of gauge theories on R3×S1. In particular, we perform exact one loop calculations for the vacuum polarization in QCD with adjoint matter and observe that all infrared logarithms, as functions of the external momentum, cancel between the vacuum part and finite volume part, which eliminates the IR renormalon problem. We argue that the singularities in the Borel ...

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