Behavior of the Effective QCD Coupling in the Infrared Region
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 3, pp. 484-496
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The summary of nonperturbative results for the QCD invariant coupling $\bar \alpha _s$ obtained by numerical lattice simulations for the path integral and by solution of the approximate Dyson–Schwinger equations reveals a remarkable variety of IR behaviors of $\bar \alpha _s(Q^2)$ even at the qualitative level. In turn, this raises the question of the correspondence between the results obtained by different groups. We analyze this issue in terms of mass-dependent coupling-constant transformations and conclude that the problem of the IR behavior of the effective QCD coupling and of propagators is not well defined and requires a further clarification.
Keywords:
quantum chromodynamics, path integral, nonperturbative infrared asymptotic approximations.
@article{TMF_2002_132_3_a10,
author = {D. V. Shirkov},
title = {Behavior of the {Effective} {QCD} {Coupling} in the {Infrared} {Region}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {484--496},
publisher = {mathdoc},
volume = {132},
number = {3},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2002_132_3_a10/}
}
D. V. Shirkov. Behavior of the Effective QCD Coupling in the Infrared Region. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 3, pp. 484-496. http://geodesic.mathdoc.fr/item/TMF_2002_132_3_a10/