Geodesic
Total gluon propagator in the light-cone gauge and the problem of the transversality of the polarization operator in the infrared region. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 2, pp. 264-273 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {L. G. Vachnadze and K. R. Natroshvili and A. A. Khelashvili and V. Yu. Khmaladze},
     title = {Total gluon propagator in~the light-cone gauge and the problem of~the transversality of~the polarization operator in~the infrared {region.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {264--273},
     year = {1989},
     volume = {80},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a7/}
}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 2, pp. 264-273. http://geodesic.mathdoc.fr/item/TMF_1989_80_2_a7/

[1] Ball J., Zachariasen F., Nucl. Phys., B143:1 (1978), 148–162 | DOI

[2] Delbourgo R., J. Phys. G, 6:4 (1979), 603–618 | DOI | MR

[3] Anishetty R. et al., Phys. Lett., 86B:1 (1979), 52–57 | DOI | MR

[4] Bar-Gadda U., Nucl. Phys., B163:3 (1980), 312–332 | DOI

[5] Baker M., Ball J., Zachariasen F., Nucl. Phys., B186:3 (1981), 531–539 | DOI

[6] Khelashvili A. A., TMF, 46:2 (1981), 225–231 | MR

[7] Alekseev A. I., YaF, 33:2 (1981), 516–525

[8] Alekseev A. I., Arbuzov B. A., Baikov V. A., TMF, 52:2 (1982), 187–198

[9] Atkinson D. et al., Nuovo Cim., 77A:2 (1983), 197–213 | DOI

[10] Gardner E. J., J. Phys. G, 9:1 (1983), 139–160 | DOI

[11] Natroshvili K. R., Khelashvili A. A., Khmaladze V. Yu., “Svetopodobnaya kalibrovka v uravnenii Daisona–Shvingera i infrakrasnoe povedenie glyuonnogo propagatora”, Trudy VII seminara po problemam fiziki vysokikh energii i kvantovoi teorii polya, T. II (Protvino, 1984), IFVE, Protvino, 1985, 153–162

[12] Natroshvili K. R., Khelashvili A. A., Khmaladze V. Yu., TMF, 65:3 (1985), 360–367 | MR

[13] Trudy rabochego soveschaniya po probleme «Infrakrasnoe povedenie v kvantovoi khromodinamike» (Tbilisi, 1985), Izd-vo Tbilisskogo un-ta, Tbilisi, 1985

[14] Zhang R. B., Phys. Rev., 31:6 (1985), 1512–1514 | DOI

[15] Natroshvili K. R., Khelashvili A. A., Khmaladze V. Yu., “Propagator glyuona na bolshikh rasstoyaniyakh”, Materialy seminara «Kvarki-86» (Tbilisi, 1986), IYaI, M., 1987, 317–325

[16] Slavnov A. A., TMF, 10:2 (1972), 153–161 ; Taylor J. S., Nucl. Phys., B33:3 (1971), 436–444 | DOI | MR

[17] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29:2 (1963), 380–399 | DOI | MR

[18] Alekseev A. I., Edneral V. F., YaF, 46:4 (1987), 1105–1114

[19] Cornwall J. M., Phys. Rev., D10:2 (1974), 500–517 | MR

[20] Pritchard D. J., Stirling M. J., Nucl. Phys., B165:2 (1980), 237–268 | DOI

[21] Fradkin E. S., Tyutin I. V., Phys. Rev., D2:12 (1970), 2841–2857 | Zbl

[22] Kummer W., Acta Phys. Astr., 41 (1975), 315–334 | MR

[23] Slavnov A. A., Frolov S. A., TMF, 73:2 (1987), 199–209 | MR

[24] Lee H. C., Milgram M. S., Ann. of Phys., 157:2 (1984), 408–451 | DOI | MR

[25] 't Hooft G., Veltman M., Nucl. Phys., B44:1 (1972), 189–213 | DOI

[26] Vachnadze L. G. i dr., “Reshenie uravneniya Daisona–Shvingera dlya glyuonnogo propagatora v infrakrasnoi oblasti”, Tr. rabochego soveschaniya po probleme «Infrakrasnoe povedenie v kvantovoi khromodinamike» (Tbilisi, 1985), Izd-vo Tbilisskogo un-ta, Tbilisi, 1985, 6–20

[27] Baker M., The running coupling constant in Yang–Mills theory, Preprint Ref. TH 2905-CERN, CERN, Geneva, 1980

[28] Kim S. K., Baker M., Nucl. Phys., B164:1 (1980), 152–170 | DOI

[29] Arbuzov B. A. i dr., “Kvark-glyuonnoe vzaimodeistvie v infrakrasnoi oblasti KKhD i khromomagnitnye momenty kvarkov”, Tr. rabochego soveschaniya po probleme «Infrakrasnoe povedenie v kvantovoi khromodinamike» (Tbilisi, 1985), Izd-vo Tbilisskogo un-ta, Tbilisi, 1985, 21–33

[30] Arbuzov B. A., Davydychev A. I., Trekhglyuonnaya i chetyrekhglyuonnaya vershinnye funktsii v infrakrasnoi oblasti KKhD, Preprint IFVE 86-187 OTF, IFVE, Serpukhov, 1986

[31] Alekseev A. I., Edneral V. F., “Metod razlozheniya effektivnogo deistviya glyuonnogo polya v infrakrasnoi oblasti. Dvukhpetlevoi chlen polyarizatsionnogo operatora v svetopodobnoi kalibrovke”, Trudy IX seminara «Problemy fiziki vysokikh energii i teorii polya» (Protvino, 1986), Nauka, M., 1987, 78–89

[32] Arbuzov B. A., Boos E. E., Davydychev A. I., Infrakrasnye asimptotiki glyuonnykh funktsii Grina v kovariantnoi kalibrovke, Preprint IFVE 86-123 OTF, IFVE, Serpukhov, 1986