Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The absence of IR renormalons in gauge theories on $\mathbb R^3\times
  \mathbb S^1$ and what it means for resurgence   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.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg