The problem of infrared divergences in soliton quantization
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 45-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of infrared divergences in the quantization of soliton solutions in the framework of perturbation theory is discussed. It is shown that the divergences only partly cancel in the sum of the three-loop diagrams without external lines.
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S. I. Zlatev; V. A. Matveev. The problem of infrared divergences in soliton quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 45-60. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a2/

[1] Rajaraman R., Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory, North Holland, Amsterdam–New-York–Oxford, 1982, 409 pp. | MR | Zbl

[2] Bogolyubov N. N., Tyablikov S. V., ZhETF, 19:3 (1949), 256–268

[3] Solodovnikova E. P., Tavkhelidze A. N., Khrustalev O. A., TMF, 10:2 (1972), 162–181 ; Разумов А. В., Хрусталев О. А., ТМФ, 29:3 (1976), 300–308 ; Kuleshov S. P., Matveev V. A., Smondyrev M. A., Approximations of strong and weak couplings in the two polaron problem, Preprint JINR E2-9116, JINR, Dubna, 1975; M. Creutz, Extended objects, Preprint BNL-21923, BNL, Upton, 1976 | MR | MR

[4] Faddeev L. D., Korepin V. E., Phys. Lett., 63B:4 (1976), 435–438 | DOI

[5] Jevicki A., Nucl. Phys., B117:2 (1976), 365–376 | DOI | MR

[6] Faddeev L. D., Korepin V. E., Phys. Rep., 42C:1 (1978), 1–87 | DOI | MR

[7] Abbott L. F., Nucl. Phys., B139:1/2 (1978), 159–169 | DOI

[8] Creutz M., Phys. Rev., D12:10 (1975), 3126–3144 | MR

[9] Matveev V. A., Nucl. Phys., B121:3 (1977), 403–412 | DOI

[10] Zlatev S. I., Matveev V. A., Kompensatsiya nulevykh mod v zadache o kvantovykh popravkakh k masse solitona, Soobschenie OIYaI R2-82-244, OIYaI, Dubna, 1982

[11] Zlatev S. I., Matveev V. A., Chechelashvili G. A., Kompensatsiya nulevykh mod i kollektivnye koordinaty v zadache o kvantovykh popravkakh k masse solitona, Soobschenie OIYaI R2-80-505, OIYaI, Dubna, 1980

[12] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1959, 470 pp. | MR

[13] Vasilev A. N., Funktsionalnye metody v kvantovoi teorii polya i statistike, LGU, L., 1976, 294 pp.

[14] Zlatev S. I., Matveev V. A., Chechelashvili G. A., TMF, 50:3 (1982), 323–332 | MR

[15] Chetyrkin K. G., Tkachov F. V., Phys. Lett., 114B:5 (1982), 340–343 | DOI