A. A. Khelashvili, “Delbourgo representation and the gluon propagator in the light-like ($n^2=0$) gauge”, TMF, 46:2 (1981), 225–231; Theoret. and Math. Phys., 46:2 (1981), 149

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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 2, Pages 225–231 (Mi tmf2315)

This article is cited in 8 scientific papers (total in 8 papers)

Delbourgo representation and the gluon propagator in the light-like ($n^2=0$) gauge

A. A. Khelashvili

Full-text PDF (801 kB) Citations (8)

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Abstract: By means of the Delbourgo representation for the three-gIuon vertex function as solution of the Slavnov–Taylor identity, the Dyson–Schwinger equation is reduced to a linear integral equation for the spectral density of the gluon propagator. Transition to the light-like ($n^2=0$) gauge yields the explicit form of the equation, and it is shown that its solution has the same behavior in both the ultraviolet and the infrared region.

Received: 25.02.1980

English version:
Theoretical and Mathematical Physics, 1981, Volume 46, Issue 2, Pages 149–153
DOI: https://doi.org/10.1007/BF01030849

Bibliographic databases:

Language: Russian

Citation: A. A. Khelashvili, “Delbourgo representation and the gluon propagator in the light-like ($n^2=0$) gauge”, TMF, 46:2 (1981), 225–231; Theoret. and Math. Phys., 46:2 (1981), 149–153

Citation in format AMSBIB

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\by A.~A.~Khelashvili

\paper Delbourgo representation and the gluon propagator in the light-like~($n^2=0$) gauge

\jour TMF

\yr 1981

\vol 46

\issue 2

\pages 225--231

\mathnet{http://mi.mathnet.ru/tmf2315}

\transl

\jour Theoret. and Math. Phys.

\yr 1981

\vol 46

\issue 2

\pages 149--153

\crossref{https://doi.org/10.1007/BF01030849}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NE30200007}

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https://www.mathnet.ru/eng/tmf2315

https://www.mathnet.ru/eng/tmf/v46/i2/p225

This publication is cited in the following 8 articles:

Klaus Geiger, “Propagation of gluons from a nonperturbative evolution equation in axial gauges”, Phys. Rev. D, 60:3 (1999)
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, 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
K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze, “Infrared behavior of the gluon propagator in Yang–Mills theory”, Theoret. and Math. Phys., 65:3 (1985), 1213–1218
E J Gardner, “The Schwinger-Dyson equation for the gluon propagator in 2+1 and in 3+1 dimensions”, J. Phys. G: Nucl. Phys., 9:2 (1983), 139
F. Paccanoni, “Infra-red solutions of the Schwinger-Dyson equation for the discontinuity of the gluon propagator”, Nuov Cim A, 74:3 (1983), 267
R Delbourgo, C N Parker, B G Kenny, “The gauge technique for massive electrodynamics”, J. Phys. G: Nucl. Phys., 8:9 (1982), 1173
D. Atkinson, P. W. Johnson, K. Stam, “Nonperturbative confinement in quantum chromodynamics. II. Mandelstam's gluon propagator”, Journal of Mathematical Physics, 23:10 (1982), 1917

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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