Geodesic
Four-dimensional integration by parts with differential renormalization as a method of evaluation of Feynman diagrams
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 129-134 
V. A. Smirnov. Four-dimensional integration by parts with differential renormalization as a method of evaluation of Feynman diagrams. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 129-134. http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown how strictly four-dimensional integration by parts combined with differential renormalization and its infrared analogue can be applied for calculation of Feynman diagrams.

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

[2] G. 'tHooft, M. Veltman, Nucl. Phys., B44 (1972), 189 | DOI | MR

[3] P. Breitenlohner, D. Maison, Commun. Math. Phys., 52 (1977), 11, 39, 55 | DOI | MR

[4] D. Z. Freedman, K. Johnson, J. I. Latorre, Nucl. Phys., B371 (1992), 353 | DOI

[5] J. I. Latorre, C. Manuel, Cardona X. Vilasís, Ann. Phys., 231 (1994), 149 | DOI

[6] O. I. Zavyalov, V. A. Smirnov, TMF, 96 (1993), 288 | MR | Zbl

[7] V. A. Smirnov, Nucl. Phys., B427 (1994), 325 | DOI | Zbl

[8] V. A. Smirnov, Z. Phys. C, 67 (1995), 531 | DOI

[9] O. I. Zavyalov, TMF, 98 (1994), 536 | MR | Zbl

[10] E. R. Speer, J. Math. Phys., 9 (1968), 1404 | DOI

[11] K. G. Chetyrkin, V. A. Smirnov, Phys. Lett., 144B (1984), 419 ; Препринт НИИЯФ МГУ 89-2/79, М., 1989 | DOI | Zbl

[12] V. A. Smirnov, Renormalization and asymptotic expansions, Birkhäuser, Basel, 1991 | MR | Zbl

[13] L. V. Avdeev, D. I. Kazakov, I. N. Kondrashuk, Int. J. Mod. Phys., A9 (1994), 1067 | DOI

[14] J. L. Rosner, Ann. Phys., 44 (1967), 11 | DOI

[15] O. I. Zavyalov, G. A. Kravtsova, A. M. Malokostov, TMF, 107:1 (1996), 64–74 | DOI | MR | Zbl