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TMF, 1989, Volume 80, Number 2, Pages 264–273 (Mi tmf5137)  

This article is cited in 2 scientific papers (total in 2 papers)

Total gluon propagator in the light-cone gauge and the problem of the transversality of the polarization operator in the infrared region. I

L. G. Vachnadze, K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze


Abstract: The tensor structure of the gluon polarization operator is investigated in the lightlike gauge on the basis of the Dyson–Schwinger equation completed by the Slavnov–Taylor identities. The most general form of the gluon propagator is obtained that satisfies the contracted Dyson–Schwinger equation in the infrared region. Two-loop terms of the polarization operator are studied as well in the case when only one tensor structure is retained in the gluon propagator and the leading singular behaviour is taken into account. It is shown that the polarization operator is nonsymmetrical in this approximation.

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English version:
Theoretical and Mathematical Physics, 1989, 80:2, 857–864

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Received: 01.03.1988

Citation: 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”, TMF, 80:2 (1989), 264–273; Theoret. and Math. Phys., 80:2 (1989), 857–864

Citation in format AMSBIB
\Bibitem{VacNatKhe89}
\by L.~G.~Vachnadze, K.~R.~Natroshvili, A.~A.~Khelashvili, V.~Yu.~Khmaladze
\paper Total gluon propagator in~the light-cone gauge and the problem of~the transversality of~the polarization operator in~the infrared region.~I
\jour TMF
\yr 1989
\vol 80
\issue 2
\pages 264--273
\mathnet{http://mi.mathnet.ru/tmf5137}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 80
\issue 2
\pages 857--864
\crossref{https://doi.org/10.1007/BF01016112}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989CW43800008}


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    This publication is cited in the following articles:
    1. 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  mathnet  crossref  isi
    2. 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  mathnet  crossref  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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