Year: 1996
Type: preprint
Abstract: As is known from QED, a possible solution to the ghost-pole trouble can be obtained by imposing the $Q^2$-analyticity imperative. Here, the pole is compensated by the $α$ non-analytic contribution that results in finite coupling renormalization. We apply this idea to QCD and arrive at the $Q^2$ analytic $\barα_s(Q)$. This solution corresponds to perturbation expansion, obeys AF and, due to non-perturbative contribution, has a regular IR behaviour. It does not contain any adjustable parameter and has a finite IR limit $\barα_s(0)$ which depends only on group symmetry factors. In the one-loop approximation it is equal to $4π/β_0 \simeq 1.40\,$ and turns out to be surprisingly stable with respect to higher order corrections. On the other hand, the IR behaviour of our new analytic solution agrees with recent global low energy experimental estimates of $\barα_s(Q^2)$.
Source: arXiv (Cornell University)
Authors: Shirkov, D. V., Solovtsov, I. L.
Institution: Joint Institute for Nuclear Research
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G6529658225
OpenAlex ID: W1925678758