Geodesic
Infrared behavior of the gluon propagator in Yang–Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 3, pp. 360-367 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $(p^{-2})^{\alpha+1}$ for the gluon propagator. Such behavior is shown to becompatible with the equation only for $\alpha=1$. 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. 
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     author = {K. R. Natroshvili and A. A. Khelashvili and V. Yu. Khmaladze},
     title = {Infrared behavior of the gluon propagator in {Yang{\textendash}Mills} theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {360--367},
     year = {1985},
     volume = {65},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a3/}
}
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K. R. Natroshvili; A. A. Khelashvili; V. Yu. Khmaladze. Infrared behavior of the gluon propagator in Yang–Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 3, pp. 360-367. http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a3/

[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), 418–433

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

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

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

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

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

[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 fizike vysokikh energii i teorii polya, IFVE, Protvino, 1984

[12] Slavnov A. A., TMF, 10:2 (1972), 153–161

[13] Taylor J. S., Nucl. Phys., B33:3 (1971), 436–444 | DOI | MR

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

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

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

[17] Baker M., The running coupling constant in Yang-Mills theory, Lectures given at Zakopane Summer School (May, 1980); Ref. TH. 2905-GERN, CERN, Geneva, 1980

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

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

[20] Dokshitzer Yu. L., D'Yakonov D. I., Troyan S. I., Phys. Rep., 58:5 (1980), 270 | DOI

[21] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, Vyp. 1, Fizmatgiz, M., 1959 | MR

[22] Sørensen P. H., Phys. Scripta, 28:2 (1983), 201–204 | DOI