Geodesic
Infrared divergences in theories with massless scalar and spinor fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 174-187 
A. Yu. Kamenshchik; N. A. Sveshnikov. Infrared divergences in theories with massless scalar and spinor fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 174-187. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a1/
@article{TMF_1986_66_2_a1,
     author = {A. Yu. Kamenshchik and N. A. Sveshnikov},
     title = {Infrared divergences in theories with massless scalar and spinor fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {174--187},
     year = {1986},
     volume = {66},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the matrix elements in the $\varphi^4$ and Wess–Zumino models are free of infrared divergences (except for the divergences in the propagator insertions in external lines). A class of models with massless spinor and scalar fields that possess an analogous infrared structure is found. The results are interpreted physically.

[1] Kulish P. P., Faddeev L. D., TMF, 4:2 (1970), 153–170 | Zbl

[2] Block F., Nordsiek A., Phys. Rev., 52:2 (1937), 54–59 | DOI | MR

[3] Yennie D. R., Frautschi S. C., Suura H., Ann. Phys., 13:3 (1961), 379–452 | DOI

[4] Kinoshita T., J. Math. Phys., 3:4 (1962), 650–677 | DOI | Zbl

[5] Lee T. D., Nauenberg M., Phys. Rev., 133B (1964), 1549 | DOI | MR

[6] Frenkel J., Gatheral J. G. M., Taylor J. C., Nucl. Phys., B194:1 (1982), 172–180 | DOI

[7] Kamenshchik A. Yu., Sveshnikov N. A., Phys. Lett., 123B:3–4 (1983), 255–280 | DOI

[8] Wess J., Zumino B., Nucl. Phys., B70:1 (1974), 3948 | MR

[9] Wess J., Zumino B., Phys. Lett., 49B:1 (1974), 39–48; 52–54 | Zbl

[10] Anikin S. A., Zavyalov O. I., Kartsev N. I., TMF, 44:3 (1980), 291–306 ; 46:1 (1981), 3–26 ; Аникин С. А., Бордаг М., Завьялов О. И., ТМФ, 56:2 (1983), 163–170 ; Аникин С. А., Смирнов В. А., ТМФ, 51:1 (1982), 3–9 | MR | MR | MR | MR

[11] Chetyrkin K. G., Tkachov F. V., Nucl. Phys., B192 (1981), 159–204 | DOI

[12] Grisaru M. T., Siegel W., Phys. Lett., 110B:1 (1982), 49–53 | DOI

[13] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR