Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 187-198
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The possibility that the gluon propagator could have the infrared asymptotic behavior $D(k)\sim 1/(k^{2})^{2}$, $k^{2}\to0$, in quantum chromodynamics is considered. It is shown by means of the Schwinger–Dyson equation in the axial gauge and the Ward–Slavnov identities that such behavior can indeed be realized if the three-gluon vertex function has a definite infrared asymptotic behavior independently of the value of the gauge parameter. This result makes it possible to obtain in the infrared region an effective gauge-invariant Lagrangian containing explicitly a constant with the dimensions of mass.
@article{TMF_1982_52_2_a2,
author = {A. I. Alekseev and B. A. Arbuzov and V. A. Baikov},
title = {Infrared asymptotic behavior of gluon {Green's} functions in quantum chromodynamics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {187--198},
publisher = {mathdoc},
volume = {52},
number = {2},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/}
}
TY - JOUR AU - A. I. Alekseev AU - B. A. Arbuzov AU - V. A. Baikov TI - Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 187 EP - 198 VL - 52 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/ LA - ru ID - TMF_1982_52_2_a2 ER -
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A. I. Alekseev; B. A. Arbuzov; V. A. Baikov. Infrared asymptotic behavior of gluon Green's functions in quantum chromodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 187-198. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a2/