Gauge Dependence of Effective Average Action

Abstract

The gauge dependence of effective average action in the functional renormalization group is studied. The effective average action is considered as non-perturbative solution to the flow equation which is the basic equation of the method. It is proven that at any scale of IR cutoff the effective average action depends on gauges making impossible physical interpretation of all obtained results in this method.

This is a preview of subscription content, access via your institution.

REFERENCES

  1. 1

    R. Jackiw, Phys. Rev. D 9, 1686 (1974).

    ADS  Article  Google Scholar 

  2. 2

    N. K. Nielsen, Nucl. Phys. B 101, 173 (1975).

    ADS  Article  Google Scholar 

  3. 3

    L. D. Faddeev and V. N. Popov, Phys. Lett. B 25, 29 (1967).

    ADS  Article  Google Scholar 

  4. 4

    P. M. Lavrov and I. V. Tyutin, Sov. J. Nucl. Phys. 34, 156 (1981).

    Google Scholar 

  5. 5

    P. M. Lavrov and I. V. Tyutin, Sov. J. Nucl. Phys. 34, 474 (1981).

    Google Scholar 

  6. 6

    I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 102, 27 (1981).

    ADS  MathSciNet  Article  Google Scholar 

  7. 7

    I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D 28, 2567 (1983).

    ADS  MathSciNet  Article  Google Scholar 

  8. 8

    B. L. Voronov, P. M. Lavrov and I. V. Tyutin, Sov. J. Nucl. Phys. 36, 292 (1981).

    Google Scholar 

  9. 9

    C. Wetterich, Nucl. Phys. B 352, 529 (1991).

    ADS  Article  Google Scholar 

  10. 10

    C. Wetterich, Phys. Lett. B 301, 90 (1993).

    ADS  Article  Google Scholar 

  11. 11

    J. M. Pawlowski, Ann. Phys. (N. Y.) 322, 2831 (2007).

    ADS  Article  Google Scholar 

  12. 12

    O. J. Rosten, Phys. Rep. 511, 177 (2012).

    ADS  MathSciNet  Article  Google Scholar 

  13. 13

    H. Gies, Notes Phys. 852, 287 (2012).

    MathSciNet  Article  Google Scholar 

  14. 14

    T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. 66, 1 (1979).

    ADS  Article  Google Scholar 

  15. 15

    P. M. Lavrov and I. L. Shapiro, JHEP 1306, 086 (2013).

  16. 16

    P. M. Lavrov, Phys. Lett. B 791, 293 (2018).

    ADS  Article  Google Scholar 

  17. 17

    P. M. Lavrov, E. A. dos Reis, T. de Paula Netto, and I. L. Shapiro, Eur. Phys. J. C 79, 881 (2019).

    Article  Google Scholar 

  18. 18

    P. M. Lavrov, Phys. Lett. B 803, 135314 (2020).

    MathSciNet  Article  Google Scholar 

  19. 19

    V. F. Barra, P. M. Lavrov, E. A. dos Reis, T. de Paula Netto, and I. L. Shapiro, Phys. Rev. D 101, 065001 (2020).

    ADS  MathSciNet  Article  Google Scholar 

  20. 20

    P. M. Lavrov, arXiv:2002.05997[hep-th].

  21. 21

    B. S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, 1965).

    Google Scholar 

  22. 22

    C. Becchi, A. Rouet and R. Stora, Phys. Lett. B 52, 344 (1974).

    ADS  Article  Google Scholar 

  23. 23

    I. V. Tyutin, Preprint of P. N. Lebedev Physical Institute No. 39 (1975), arXiv:0812.0580 [hep-th].

Download references

ACKNOWLEDGMENTS

The work is supported by Ministry of Science and High Education of Russian Federation, project FEWF-2020-0003.

Author information

Affiliations

Authors

Corresponding author

Correspondence to P. M. Lavrov.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Lavrov, P.M. Gauge Dependence of Effective Average Action. Phys. Atom. Nuclei 83, 1011–1014 (2020). https://doi.org/10.1134/S1063778820060216

Download citation