Abstract
We calculate the two-loop anomalous dimension in the N = 1 supersymmetric electrodynamics regularized through the higher covariant derivative method using the minimum subtraction scheme and show that the result is independent of the form of the regularizing term but does depend on the ratio between the masses M of the Pauli–Villars fields and the dimensional constant Λ in the regularizing term. We propose a simple subtraction scheme in which the result is independent of the parameters of the regularization used.
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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).
G. t'Hooft, Nucl. Phys. B, 61, 455 (1973).
L. Avdeev and O. Tarasov, Phys. Lett. B, 112, 356 (1982).
I. Jack, D. R. T. Jones, and C. G. North, Nucl. Phys. B, 473, 308 (1996); hep-ph/9603386 (1996).
I. Jack, D. R. T. Jones, and C. G. North, Phys. Lett. B, 386, 138 (1996).
I. Jack and D. R. T. Jones, “Regularization of supersymmetric theories,” hep-ph/9707278 (1997).
I. Jack, D. R. T. Jones, and C. G. North, Nucl. Phys. B, 486, 479 (1997).
A. Slavnov, Nucl. Phys. B, 31, 301 (1971).
T. Bakeyev and A. Slavnov, Modern Phys. Lett. A, 11, 1539 (1996).
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); A. A. Soloshenko and K. V. Stepanyantz, “Two-loop renormalization of N=1 supersymmetric dynamics, regularized by higher derivatives,” hepth/ 0203118 (2002).
P. Pronin and K. Stepanyantz, Phys. Lett. B, 414, 117 (1997).
A. A. Soloshenko and K. V. Stepanyantz, Theor. Math. Phys., 131, 558 (2002).
N. Arkani-Hamed and H. Mirayama, JHEP, 0006, 030 (2000); hep-th/9707133 (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).
J. Collins, Renormalization: An Introduction to Renormalization, the Renormalization Group, and the Operator-Product Expansion, Cambridge Univ. Press, New Rochelle (1984).
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Soloshenko, A.A., Stepanyantz, K.V. Two-Loop Anomalous Dimension of N = 1 Supersymmetric Quantum Electrodynamics Regularized Using Higher Covariant Derivatives. Theoretical and Mathematical Physics 134, 377–391 (2003). https://doi.org/10.1023/A:1022653506397
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DOI: https://doi.org/10.1023/A:1022653506397