Geodesic
One-loop counter-terms in theories regularized by higher covariant derivatives
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 137-147
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In an arbitrary field-theory model regularized by the higher covariant derivative method, expressions for one-loop logarithmic divergences are shown to be consistent with the dimensional regularization; the precise form of the regularization terms is irrelevant. Therefore, we explicitly check the self-consistency of the higher derivatives method on the one-loop level. The calculation for the Yang–Mills theory is given. 
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     author = {P. I. Pronin and K. V. Stepanyantz},
     title = {One-loop counter-terms in theories regularized by higher covariant derivatives},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/}
}
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P. I. Pronin; K. V. Stepanyantz. One-loop counter-terms in theories regularized by higher covariant derivatives. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 137-147. http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/

[1] G. t'Hooft, M. Veltman, Nucl. Phys. B, 10 (1972), 189 | DOI | MR

[2] A. A. Slavnov, Nucl. Phys. B, 31 (1971), 301 | DOI | MR

[3] C. P. Martin, F. Ruiz-Ruiz, Nucl. Phys. B, 436 (1995), 645 | DOI

[4] M. Asorey, F. Falceto, Phys. Rev. D, 54 (1996), 5290 | DOI

[5] T. D. Bakeyev, A. A. Slavnov, Mod. Phys. Lett. A, 11 (1996), 1539 | DOI

[6] A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1988 | MR | Zbl

[7] G. t'Hooft, M. Veltman, Ann. Inst. Henri Poincaré, 20 (1974), 69 | MR

[8] P. I. Pronin, K. V. Stepanyantz, Nucl. Phys. B, 485 (1997), 517 | DOI

[9] B. S. DeVitt, Dinamicheskaya teoriya grupp i polei, Nauka, M., 1987 | MR

[10] P. I. Pronin, K. V. Stepanyants, TMF, 109 (1996), 215 | DOI | Zbl