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Summation of diagrams in N=1 supersymmetric electrodynamics regularized by higher derivatives

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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.

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References

  1. V. Novikov, M. Shifman, A. Vainstein, and V. Zakharov, Phys. Lett. B, 166, 329 (1985).

    ADS  Google Scholar 

  2. W. Siegel, Phys. Lett. B, 84, 193 (1979).

    ADS  MathSciNet  Google Scholar 

  3. 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).

    ADS  Google Scholar 

  4. A. A. Slavnov, Theor. Math. Phys., 23, 3 (1975); T. Bakeyev and A. Slavnov, Modern Phys. Lett. A, 11, 1539 (1996).

    ADS  MathSciNet  Google Scholar 

  5. 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).

  6. A. Soloshenko and K. Stepanyantz, Theor. Math. Phys., 140, 1264 (2004).

    Article  Google Scholar 

  7. A. Pimenov and K. Stepanyantz, “Four-loop checking for the algorithm of summation of Feynman diagrams in N=1 supersymmetric electrodynamics” (to be published).

  8. K. Stepanyantz, Theor. Math. Phys., 142, 29 (2005).

    Article  Google Scholar 

  9. P. West, Introduction to Supersymmetry and Supergravity, World Scientific, Singapore (1986).

    Google Scholar 

  10. 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).

    Google Scholar 

  11. A. A. Slavnov, Phys. Lett. B, 518, 195 (2001); Theor. Math. Phys., 130, 1 (2002).

    ADS  MATH  Google Scholar 

  12. A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 135, 673 (2003); hep-th/0208006 (2002).

    Google Scholar 

  13. A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 139, 599 (2003); hep-th/0305128 (2003).

    Google Scholar 

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 385–401, March, 2006.

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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

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  • DOI: https://doi.org/10.1007/s11232-006-0042-4

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