Geodesic
Infrared asymptotic behavior of gauge-invariant propagator in quantum electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 54-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new class of gauge-invariant fields is introduced. For the gauge-invariant propagator of a spinor field the analogue of the Dyson–Schwinger equations is derived. With the help of these equations as well as the functional integration method it is shown that the gauge-invariant spinor propagator has a simple pole singularity in the infrared region. 
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     title = {Infrared asymptotic behavior of gauge-invariant propagator in quantum electrodynamics},
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N. B. Skachkov; I. L. Solovtsov; O. Yu. Shevchenko. Infrared asymptotic behavior of gauge-invariant propagator in quantum electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 54-66. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a6/

[1] Mandelstam S., Phys. Rev., D20:12 (1979), 3223–3238 ; Pagels H., Phys. Rev., D15:10 (1977), 2991–3002

[2] Baker M., Ball J. S., Zachariasen F., Nucl. Phys., B186:3 (1981), 531–582 ; B229:2 (1983), 445–455 | DOI | DOI

[3] Arbuzov B. A., Phys. Lett., 125B:6 (1983), 497–500 | DOI

[4] Efimov G. V., Infrakrasnaya asimptotika i konfainment, Preprint R2-84-716, OIYaI, Dubna, 1984

[5] Schwinger J., Phys. Rev., 128:5 (1962), 2425–2429 ; Fried H. M., Functional methods and models in quantum field theory, MIT Press, Cambridge, 1972 | DOI | MR | Zbl | MR

[6] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

[7] Bloch F., Nordsick A., Phys. Rev., 52:1 (1937), 54–60 | DOI

[8] Coleman S., “$1/N$”, Ettore Majorana Int. School of Subnuclear Physics (Erice, 1979)

[9] Matveev V. A., Tr. XIV Mezhd. shkoly po fizike vysokikh energii, OIYaI, Dubna, 1981, 242–273; Д2-81-158

[10] Slavnov A. A., Tr. XIV Mezhd. shkoly po fizike vysokikh energii, OIYaI, Dubna, 1981, 36–52; Д2-81-158

[11] Mandelstam S., Ann. Phys., 19:1 (1962), 1–24 ; Phys. Rev., 175:5 (1968), 1580–1603 | DOI | MR | Zbl | DOI

[12] Kanaya K., Phys. Rev., D26:7 (1982), 1758–1766

[13] Solovtsov I. L., Izv. vuzov. Fizika, 1985, no. 1, 65–71; Соловцов И. Л., Соловцова О. П., Изв. вузов. Физика, 1984, No 12, 49–54 | MR

[14] Fock V. A., Sow. Phys., 12 (1937), 404

[15] Schwinger J., Phys. Rev., 82:5 (1951), 664–679 ; Dubovikov M. S., Smilga A. V., Nucl. Phys., B185:1 (1981), 109–132 ; Cronström C., Phys. Lett., 90B:3 (1980), 267–269 | DOI | MR | Zbl | DOI | DOI | MR

[16] Dirac P. A. M., Canadian J. Phys., 33:4 (1955), 650–656 | DOI | MR

[17] Skachkov N. B., Solovtsov I. L., Shevchenko O. Yu., Gauge-invariant field variables and the role of the Lorentz gauge conditions, JINR Rapid Comm. No 8-85, 42-46, JINR, Dubna, 1985

[18] Dirak P., Printsipy kvantovoi mekhaniki, Nauka, M., 1972 | MR

[19] Kapshay V. N., Skachkov N. B., Solovtsov I. L., Bethe-Salpeter Equation for Two-Quark System in the Fock Gauge, Preprint E2-83-26, JINR, Dubna, 1983

[20] Logunov A. A., ZhETF, 29:6 (12) (1955), 871–874

[21] Stefanis N. G., Nuovo Cimento, 83A:3 (1984), 205 ; Preprint HD-THEP-83-27, Heidelberg, 1983 | DOI

[22] Barbashov B. M., ZhETF, 48:2 (1965), 607–621 ; Блохинцев Д. И., Барбашов Б. М., УФН, 106:4 (1972), 593–616 | MR | Zbl | DOI

[23] Fradkin E. S., Tr. FIAN, 29, 1965, 7–138 | Zbl