Abstract:
The Dyson–Schwinger equation in a lightlike gauge and the Slavnov–Taylor identities
are used to investigate the possible realization of a power-law infrared asymptotic
behavior of the type (p−2)α+1(p−2)α+1 for the gluon propagator.
Such behavior is shown to becompatible with the equation only for α=1α=1.
By a suitable choice of the transverse part of the three-gluon vertex function, the Dyson–Schwinger equation is solved in the infrared region. The solution corresponds to a combination of a linearly increasing potential and a Coulomb potential.
Citation:
K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze, “Infrared behavior of the gluon propagator in Yang–Mills theory”, TMF, 65:3 (1985), 360–367; Theoret. and Math. Phys., 65:3 (1985), 1213–1218
\Bibitem{NatKheKhm85}
\by K.~R.~Natroshvili, A.~A.~Khelashvili, V.~Yu.~Khmaladze
\paper Infrared behavior of the gluon propagator in Yang--Mills theory
\jour TMF
\yr 1985
\vol 65
\issue 3
\pages 360--367
\mathnet{http://mi.mathnet.ru/tmf5143}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 3
\pages 1213--1218
\crossref{https://doi.org/10.1007/BF01036129}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985D277400004}
Linking options:
https://www.mathnet.ru/eng/tmf5143
https://www.mathnet.ru/eng/tmf/v65/i3/p360
This publication is cited in the following 12 articles:
Magradze, BA, “An analytic approach to perturbative QCD”, International Journal of Modern Physics A, 15:17 (2000), 2715
Klaus Geiger, “Propagation of gluons from a nonperturbative evolution equation in axial gauges”, Phys. Rev. D, 60:3 (1999)
A. I. Alekseev, “On infrared behaviour of the gluon propagator”, Theoret. and Math. Phys., 106:2 (1996), 209–219
L. G. Vachnadze, N. A. Kiknadze, A. A. Khelashvili, “Singular power-law infrared asymptotic behavior of the gluon propagator in the covariant gauge”, Theoret. and Math. Phys., 102:1 (1995), 34–39
L. G. Vachnadze, N. A. Kiknadze, K. Sh. Turashvili, A. A. Khelashvili, “The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. II”, Theoret. and Math. Phys., 100:1 (1994), 811–818
A. I. Davydychev, “Equation for the quark propagator in the infrared region and some properties of its solutions”, Theoret. and Math. Phys., 85:1 (1990), 1048–1055
L. G. Vachnadze, K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze, “Total gluon propagator in the light-cone gauge and the problem of the transversality of the polarization operator in the infrared region. I”, Theoret. and Math. Phys., 80:2 (1989), 857–864
V.Sh. Gogokhia, B.A. Magradze, “Infrared finite quark propagator and chiral symmetry breaking in QCD”, Physics Letters B, 217:1-2 (1989), 162
A. I. Alekseev, A. S. Vshivtsev, A. V. Tatarintsev, “Classical non-Abelian solutions for nonstandard Lagrangians”, Theoret. and Math. Phys., 77:2 (1988), 1189–1197
B. A. Arbuzov, E. E. Boos, A. I. Davydychev, “Infrared asymptotics of gluon Green's functions in covariant gauge”, Theoret. and Math. Phys., 74:2 (1988), 103–108
M. L. Nekrasov, V. E. Rochev, “Model of dynamical breaking of chiral symmetry and quark condensate”, Theoret. and Math. Phys., 70:2 (1987), 147–151
B. A. Arbuzov, A. I. Davydychev, S. S. Kurennoy, “Particular solutions of the equation for the quark propagator in the infra-red region of QCD”, Nuov Cim A, 97:1 (1987), 131
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