Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Fourier transformation of Renormalization Invariant Coupling   Integral transformations of the QCD invariant (running) coupling and of some
related objects are discussed. Special attention is paid to the Fourier
transformation, that is to transition from the space-time to the
energy--momentum representation.
  The conclusion is that the condition of possibility of such a transition
provides us with one more argument against the real existence of unphysical
singularities observed in the perturbative QCD.
  The second conclusion relates to the way of "translation" of some singular
long--range asymptotic behaviors to the infrared momentum region. Such a
transition has to be performed with the due account of the Tauberian theorem.
This comment relates to the recent ALPHA collaboration results on the
asymptotic behavior of the QCD effective coupling obtained by lattice
simulation.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg