Analysis of chiral anomaly in dimensional regularization by means of projection technique
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 372-380 Cet article a éte moissonné depuis la source Math-Net.Ru

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We suggest a selfconsistent method for calculation of the chiral anomaly in the dimensional regularization. The advantage of our approach is the absence of the four dimensional symbols $\gamma_5$ and $\varepsilon_{\mu\nu\lambda\rho}$ in noninteger space-time dimensions. As an example we discuss the massless quantum electrodynamics.
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     title = {Analysis of chiral anomaly in dimensional regularization by means of projection technique},
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M. I. Vyazovskii; N. A. Kivel'. Analysis of chiral anomaly in dimensional regularization by means of projection technique. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 372-380. http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a4/

[1] P. A. Baikov, V. A. Ilin, TMF, 88 (1991), 163 | MR

[2] S. A. Larin, Phys. Lett., B303 (1993), 113 | DOI

[3] D. Kollinz, Perenormirovka, Mir, M., 1988 | MR

[4] S. Adler, W. Bardeen, Phys. Rev., 182 (1969), 1517 | DOI

[5] A. Bondi, G. Curci, G. Paffuti, P. Rossi, Ann. Phys., 199 (1990), 268 | DOI | MR

[6] A. N. Vasilev, M. I. Vyazovskii, S. E. Derkachev, N. A. Kivel, TMF, 107 (1996), 27 | DOI | Zbl

[7] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1984 | MR

[8] A. Kennedy, J. Math. Phys., 22 (1981), 1330 ; Л. В. Авдеев, ТМФ, 58 (1984), 308 ; А. Н. Васильев, С. Э. Деркачев, Н. А. Кивель, ТМФ, 103 (1995), 179 | DOI | MR | MR | Zbl

[9] A. N. Vasilev, TMF, 81 (1989), 336

[10] S. G. Gorishny, A. L. Kataev, S. A. Larin, L. R. Surguladze, Phys. Lett., B256 (1991), 81 | DOI