Geodesic
Method of calculating renormalization-group functions in the scheme of dimensional regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 210-217 Cet article a éte moissonné depuis la source Math-Net.Ru

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A simple and efficient method for computing divergent parts of the Feynman diagrams is proposed which enables one to evaluate analytically all three-loop and almost all four-loop contributions to the renormalization group functions for any renormalizable theory. In order to illustrate the computational technique several examples are considered. 
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     author = {A. A. Vladimirov},
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}
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A. A. Vladimirov. Method of calculating renormalization-group functions in the scheme of dimensional regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 210-217. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a3/

[1] H. D. Politzer, Phys. Rep., 14C (1974), 129 ; A. J. Buras, E. G. Floratos, D. A. Ross, C. T. Sachrajda, Nucl. Phys., B131 (1977), 308 | DOI | DOI

[2] K. Wilson, Phys. Rev. Lett., 28 (1972), 548 ; E. Brezin, J. C. LeGuillou, J. Zinn-Justin, Phys. Rev., D8, 434; (1973), 2418; D9 (1974), 1121 | DOI

[3] L. N. Lipatov, ZhETF, 72 (1977), 411 | MR

[4] J. C. Le Guillou, J. Zinn-Justin, Phys. Rev. Lett., 39 (1977), 95 ; Д. И. Казаков, О. В. Тарасов, Д. В. Ширков, ТМФ, 38 (1979), 15 | DOI | MR | MR

[5] G.'t Hooft, M. Veltman, Nucl. Phys., B44 (1972), 189 | DOI

[6] E. Mendels, Nuovo Cim., 45A (1978), 87 | DOI | MR

[7] D. R. T. Jones, Nucl. Phys., B75 (1974), 531 | DOI

[8] G.'t Hooft, Nucl. Phys., B61 (1973), 455 ; J. C. Collins, A. J. Macfarlane, Phys. Rev., D10 (1974), 1201 | DOI

[9] J. C. Collins, Nucl. Phys., B80 (1974), 341 | DOI

[10] A. A. Vladimirov, TMF, 36 (1978), 271 | MR

[11] E. R. Speer, J. Math. Phys., 15 (1974), 1 ; P. Breitenlohner, D. Maison, Commun. Math. Phys., 52 (1977), 55 | DOI | MR | DOI | MR

[12] D. I. Kazakov, O. V. Tarasov, A. A. Vladimirov, Preprint JINR E2-12249, Dubna, 1971 | Zbl

[13] K. G. Chetyrkin, F. V. Tkachov, Preprint INR P-0118, Moscow, 1979

[14] M. Baker, K. Johnson, Phys. Rev., 183 (1969), 1292 | DOI