Skip to main content
Log in

On the Finite Brst Transformations: the Jacobians and the Standard Model with the Gauge-Invariant Gribov Horizon

  • Published:
Russian Physics Journal Aims and scope

A review of the finite field-dependent Becchi–Rouet–Stora–Tyutin (BRST) and BRST-antiBRST transformations is presented. Exact rules for calculating the Jacobian of the corresponding change of variables in the partition function are given. Infrared peculiarities under Rξ-gauges in the Yang–Mills theory and the Standard Model are examined in a gauge-invariant way with an appropriate horizon functional and unaffected N = 1, 2 BRST symmetries.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Reshetnyak, Int. J. Mod. Phys., A29, 1450128 (2014).

    MathSciNet  Google Scholar 

  2. P. Yu. Moshin and A. A. Reshetnyak, Nucl. Phys., B888, 92–128 (2014).

    Article  ADS  Google Scholar 

  3. P. Yu. Moshin and A. A. Reshetnyak, Phys. Lett., B739, 110–117 (2014).

    Article  ADS  Google Scholar 

  4. P. Yu. Moshin and A. A. Reshetnyak, Int. J. Mod. Phys., A29, 1450159 (2014).

    Article  ADS  Google Scholar 

  5. P. Yu. Moshin and A. A. Reshetnyak, Int. J. Mod. Phys., A30, 1550021 (2015).

    Article  Google Scholar 

  6. P. Yu. Moshin and A. A. Reshetnyak, Int. J. Mod. Phys., A31, 1650111 (2016).

    Article  Google Scholar 

  7. C. Becchi, A. Rouet, and R. Stora, Phys. Lett., B52, 344–346 (1974).

    Article  ADS  Google Scholar 

  8. I. V. Tyutin, Preprint No. 39, P. N. Lebedev Physical Institute of the USSR Academy of Sciences, Moscow (1975).

  9. I. A. Batalin and G. A. Vilkovisky, Phys. Lett., B102, 27–31 (1981).

    Article  ADS  Google Scholar 

  10. G. Curci and R. Ferrari, Phys. Lett., B63, 91–94 (1976).

    Article  ADS  Google Scholar 

  11. V. P. Spiridonov, Nucl. Phys., B308, 527–543 (1988).

    Article  ADS  Google Scholar 

  12. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, J. Math. Phys., 31, 1487–1493 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  13. S. D. Joglekar and B. P. Mandal, Phys. Rev., D51, 1919–1928 (1995).

    ADS  Google Scholar 

  14. M. Capri, A. J. Gomes, M. S. Guimaraes, et al., Phys. Rev., D83, 105001 (2011).

    ADS  Google Scholar 

  15. V. N. Gribov, Nucl. Phys., B139, 1–19 (1978).

    Article  ADS  Google Scholar 

  16. D. Zwanziger, Nucl. Phys., B323, 513–544 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  17. P. Lavrov, O. Lechtenfeld, and A. Reshetnyak, J. High Energy Phys., 1110, 043 (2011).

    Article  ADS  Google Scholar 

  18. S. Upadhyay and P. Mandal, AIP Conf. Proc., 1444, 213–219 (2011).

    ADS  Google Scholar 

  19. P. Lavrov and O. Lechtenfeld, Phys. Lett., B725, 382–385; 386–388 (2013).

  20. M. Capri, D. Dudal, P. Sorella, et al., Phys. Rev., D92, 045039 (2015).

    ADS  Google Scholar 

  21. M. A. Semenov-Tyan-Shanskii and V. A. Franke, Zap. Nauchn. Semin. POMI, 120, 159 (1986).

    Google Scholar 

  22. S. Upadhyay, A. A. Reshetnyak, and B. P. Mandal, Eur. Phys. J., C76, 391 (2016), [arxiv:1605.02973 [physics.gen-ph]].

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Reshetnyak.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 165–171, November, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Reshetnyak, A.A., Moshin, P.Y. On the Finite Brst Transformations: the Jacobians and the Standard Model with the Gauge-Invariant Gribov Horizon. Russ Phys J 59, 1921–1929 (2017). https://doi.org/10.1007/s11182-017-0996-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-017-0996-8

Keywords

Navigation