Abstract
We calculate the two-loop β-function of the N = 1 supersymmetric electrodynamics regularized using the method of higher covariant derivatives. We show that this function coincides with the result obtained using the dimensional reduction method for any form of the regularizing term.
Similar content being viewed by others
REFERENCES
V. Novikov, M. Shifman, A. Vainstein, and V. Zakharov, Phys. Lett. B, 166, 329 (1985).
A. I. Vainshtein, V. I. Zakharov, and M. A. Shifman, Sov. J. Nucl. Phys., 43, 1028 (1986); M. Shifman and A. Vainstein, Nucl. Phys. B, 277, 456 (1986).
W. Siegel, Phys. Lett. B, 84, 193 (1979).
L. Avdeev and O. Tarasov, Phys. Lett. B, 112, 356 (1982).
I. Jack, D. Jones, and C. North, Nucl. Phys. B, 473, 308 (1996).
I. Jack, D. Jones, and C. North, Phys. Lett. B, 386, 138 (1996).
I. Jack, D. Jones, and C. North, Nucl. Phys. B, 473, 308 (1996); hep-ph/9603386 (1996).
I. Jack and D. Jones, “Regularisation of supersymmetric theories,” hep-ph/9707278 (1997).
A. Slavnov, Nucl. Phys. B, 31, 301 (1971).
T. Bakeyev and A. Slavnov, Mod. Phys. Lett. A, 11, 1539 (1996).
P. West, Nucl. Phys. B, 268, 113 (1986).
C. Martin and F. Ruiz-Ruiz, Nucl. Phys. B, 436, 645 (1995).
M. Asorey and F. Falceto, Phys. Rev. D, 54, 5290 (1996).
P. I. Pronin and K. V. Stepanyantz, Theor. Math. Phys., 114, 109 (1998).
P. Pronin and K. Stepanyantz, Phys. Lett. B, 414, 117 (1997).
A. A. Slavnov and L. D. Faddeev, Introduction to Quantum Theory of Gauge Fields [in Russian] (2nd ed.), Nauka, Moscow (1988); English transl. prev. ed.: L. D. Faddeev and A. A. Slavnov Gauge Fields: Introduction to Quantum Theory, Benjamin, London (1980).
P. West, Introduction to Supersymmetry and Supergravity, World Scientific, Singapore (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Soloshenko, A.A., Stepanyantz, K.V. Two-Loop β-Function of N = 1 Supersymmetric Quantum Electrodynamics Regularized Using Higher Covariant Derivatives. Theoretical and Mathematical Physics 131, 558–568 (2002). https://doi.org/10.1023/A:1015114105325
Issue Date:
DOI: https://doi.org/10.1023/A:1015114105325