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Investigating the anomaly puzzle in N=1 supersymmetric electrodynamics

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Abstract

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 Green’s function of the gauge field and to the β-function exactly in all orders of the perturbation theory. We use the results to investigate the anomaly puzzle in the considered theory.

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REFERENCES

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

    Google Scholar 

  2. S. L. Adler and W. A. Bardeen, Phys. Rev., 182, 1517 (1969).

    Google Scholar 

  3. A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Thory 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 

  4. S. L. Adler, J. C. Collins, and A. Duncan, Phys. Rev. D, 15, 1712 (1977).

    Google Scholar 

  5. V. A. Novikov, M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Phys. Lett. B, 157, 169 (1985).

    Google Scholar 

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

    Google Scholar 

  7. O. V. Tarasov and V. A. Vladimirov, Phys. Lett. B, 96, 94 (1980); M. T. Grisaru, M. Rocek, and W. Siegel, Phys. Rev. Lett., 45, 1063 (1980); W. Caswell and D. Zanon, Phys. Lett. B, 100, 152 (1980).

    Google Scholar 

  8. M. Shifman and A. Vainstein, Nucl. Phys. B, 277, 456 (1986).

    Google Scholar 

  9. N. Arkani-Hamed and H. Mirayama, JHEP, 0006, 030 (2000); hep-th/9707133 (1997).

    Google Scholar 

  10. K. Stepanyantz, Theor. Math. Phys., 140, 939 (2004); hep-th/0301167 (2003).

    Google Scholar 

  11. W. Siegel, Phys. Lett. B, 94, 37 (1980).

    Google Scholar 

  12. G. ‘t Hooft and M. Veltman, Nucl. Phys. B, 44, 189 (1972).

    Article  Google Scholar 

  13. A. A. Slavnov, Theor. Math. Phys., 23, 305 (1975); T. Bakeyev and A. Slavnov, Modern Phys. Lett. A, 11, 1539 (1996).

    Google Scholar 

  14. A. Soloshenko and K. Stepanyantz, “Two-loop renormalization of N=1 supersymmetric electrodynamics, regularized by higher derivatives,” hep-th/0203118 (2002).

  15. A. A. Soloshenko and K. V. Stepanyantz, Theor. Math. Phys., 134, 377 (2003).

    Google Scholar 

  16. A. A. Soloshenko and K. V. Stepanyantz, Theor. Math. Phys., 140, 1264 (2004); hep-th/0304083 (2003).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  19. D. I. Kazakov, JETP Lett., 41, 335 (1985).

    Google Scholar 

  20. P. West, Nucl. Phys. B, 268, 113 (1986).

    Google Scholar 

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

    Google Scholar 

  22. A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 135, 673 (2003).

    Google Scholar 

  23. A. A. Slavnov and K. V. Stepanyantz, Theor. Math. Phys., 139, 599 (2003).

    Google Scholar 

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    K. V. Stepanyantz

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  1. K. V. Stepanyantz
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 35–56, January, 2005.

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Stepanyantz, K.V. Investigating the anomaly puzzle in N=1 supersymmetric electrodynamics. Theor Math Phys 142, 29–47 (2005). https://doi.org/10.1007/s11232-005-0053-6

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  • DOI: https://doi.org/10.1007/s11232-005-0053-6

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