Abstract
For the massless N=1 supersymmetric electrodynamics regularized by higher derivatives, we partially sum the Feynman diagrams that define the divergent part of the two-point Green’s function and cannot be found from Schwinger—Dyson equations and Ward identities. The result can be written as a special identity for Green’s functions.
Similar content being viewed by others
References
V. Novikov, M. Shifman, A. Vainstein, and V. Zakharov, Phys. Lett. B, 166, 329 (1985).
W. Siegel, Phys. Lett. B, 84, 193 (1979).
O. V. Tarasov and V. A. Vladimirov, Phys. Lett. B, 96, 94 (1980); I. Jack, D. R. T. Jones, and C. G. North, Nucl. Phys. B, 486, 479 (1997).
A. A. Slavnov, Theor. Math. Phys., 23, 3 (1975); T. Bakeyev and A. Slavnov, Modern Phys. Lett. A, 11, 1539 (1996).
A. Soloshenko and K. Stepanyantz, “Two-loop renormalization of N=1 supersymmetric electrodynamics, regularized by higher derivatives,” hep-th/0203118 (2002); A. Soloshenko and K. Stepanyantz, Theor. Math. Phys., 134, 377 (2003).
A. Soloshenko and K. Stepanyantz, Theor. Math. Phys., 140, 1264 (2004).
A. Pimenov and K. Stepanyantz, “Four-loop checking for the algorithm of summation of Feynman diagrams in N=1 supersymmetric electrodynamics” (to be published).
K. Stepanyantz, Theor. Math. Phys., 142, 29 (2005).
P. West, Introduction to Supersymmetry and Supergravity, World Scientific, Singapore (1986).
A. A. Slavnov and L. D. Faddeev, Introduction to Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1988); English transl.: L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Benjamin, London (1990).
A. A. Slavnov, Phys. Lett. B, 518, 195 (2001); Theor. Math. Phys., 130, 1 (2002).
A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 135, 673 (2003); hep-th/0208006 (2002).
A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 139, 599 (2003); hep-th/0305128 (2003).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 385–401, March, 2006.
Rights and permissions
About this article
Cite this article
Stepanyantz, K.V. Summation of diagrams in N=1 supersymmetric electrodynamics regularized by higher derivatives. Theor Math Phys 146, 321–334 (2006). https://doi.org/10.1007/s11232-006-0042-4
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11232-006-0042-4