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The absence of IR renormalons in gauge theories on $\mathbb R^3\times \mathbb S^1$ and what it means for resurgence by Anber, Mohamed M.; Sulejmanpasic, Tin is a scholarly article available to read on EtoBox.

What is The absence of IR renormalons in gauge theories on $\mathbb R^3\times \mathbb S^1$ and what it means for resurgence about?

We analyze the renormalon diagram of gauge theories on $\mathbb R^3\times \mathbb S^1$. 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 plane, arising from the topological neutral bions, are not associated with renormalons, but with the proliferation of the Feynman diagrams. As a byproduct, we obtain, for the first time, an exact one-loop result of the vacuum polarization which can be adapted to the case of thermal compactification of QCD.

Author

Anber, Mohamed M.; Sulejmanpasic, Tin

Published

2014

Language

EN