On the Fourier transformation of Renormalization Invariant Coupling
| dc.creator | Shirkov, D. V. | |
| dc.date | 2002-10-02 | |
| dc.date | 2003-02-18 | |
| dc.date.accessioned | 2026-07-07T04:14:13Z | |
| dc.date.available | 2026-07-07T04:14:13Z | |
| dc.description | 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. | |
| dc.description | LaTeX2e, 17 pages, 2 eps figures; The concluding Discussion is updated with taking into account of few fresh references which has been added to the reference list; no new results. To appear in Theor. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/hep-th/0210013 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0210013 | |
| dc.identifier | Theor.Math.Phys. 136 (2003) 893-907; Teor.Mat.Fiz. 136 (2003) 3-19 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51542 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On the Fourier transformation of Renormalization Invariant Coupling | |
| dc.type | text |