Geodesic
Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 37-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using Schwinger–Dyson equations and Ward identities in the $N=1$ supersymmetric electrodynamics regularized by higher derivatives, we find that we can calculate some contributions to the two-point Greens function of the gauge field and to the $\beta$-function exactly in all orders of the perturbation theory. We use the results to investigate the anomaly puzzle in the considered theory.
Keywords: supersymmetry, regularization, higher covariant derivative, anomaly puzzle. 
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K. V. Stepanyantz. Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 37-57. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a4/

[1] S. Ferrara, B. Zumino, Nucl. Phys. B, 87 (1975), 207 ; T. E. Clark, O. Piquet, K. Sibold, Nucl. Phys. B, 143 (1978), 445 ; O. Piquet, K. Sibold, Nucl. Phys. B, 196 (1982), 428 ; 447 | DOI | DOI | DOI

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

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

[4] S. L. Adler, J. C. Collins, A. Duncan, Phys. Rev. D, 15 (1977), 1712 | DOI

[5] V. A. Novikov, M. A. Shifman, A. I. Vainstein, V. I. Zakharov, Phys. Lett. B, 157 (1985), 169 | DOI | MR

[6] W. Siegel, Phys. Lett. B, 84 (1979), 193 | DOI | MR

[7] O. V. Tarasov, V. A. Vladimirov, Phys. Lett. B, 96 (1980), 94 | DOI

[8] M. Shifman, A. Vainstein, Nucl. Phys. B, 277 (1986), 456 | DOI

[9] N. Arkani-Hamed, H. Mirayama, JHEP, 0006 (2000), 030 ; E-print hep-th/9707133 | DOI | MR

[10] K. Stepanyants, TMF, 140:1 (2004), 53 ; E-print hep-th/0301167 | DOI

[11] W. Siegel, Phys. Lett. B, 94 (1980), 37 | DOI | MR

[12] G. 't Hooft, M. Veltman, Nucl. Phys. B, 44 (1972), 189 | DOI | MR

[13] A. A. Slavnov, TMF, 23:1 (1975), 3 ; T. Bakeyev, A. Slavnov, Mod. Phys. Lett. A, 11 (1996), 1539 | DOI

[14] A. Soloshenko, K. Stepanyantz, Two-loop renormalization of $N=1$ supersymmetric electrodynamics, regularized by higher derivatives, E-print hep-th/0203118

[15] A. A. Soloshenko, K. V. Stepanyants, TMF, 134 (2003), 430 | DOI

[16] A. A. Soloshenko, K. V. Stepanyants, TMF, 140:3 (2004), 437 ; E-print hep-th/0304083 | DOI | Zbl

[17] V. Novikov, M. Shifman, A. Vainstein, V. Zakharov, Phys. Lett. B, 166 (1985), 329 | DOI

[18] P. Uest, Vvedenie v supersimmetriyu i supergravitatsiyu, Mir, M., 1989 | MR

[19] D. I. Kazakov, Pisma v ZhETF, 41 (1985), 272

[20] P. West, Nucl. Phys. B, 268 (1986), 113 | DOI | MR

[21] A. A. Slavnov, Phys. Lett. B, 518 (2001), 195 ; А. А. Славнов, ТМФ, 130 (2002), 3 | DOI | Zbl | DOI | Zbl

[22] A. A. Slavnov, K. V. Stepanyants, TMF, 135 (2003), 265 | DOI | MR | Zbl

[23] A. A. Slavnov, K. V. Stepanyants, TMF, 139 (2003), 179 | DOI