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Decomposition of the Static Potential in SU(3) Gluodynamics

JETP Letters (2023)Cite this article

After fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics we decompose the nonabelian gauge field into the Abelian field created by Abelian monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static potentials in the fundamental representation and show that the sum of these potentials approximates the nonabelian static potential with good precision at all distances considered. Comparison with other ways of decomposition is made.

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REFERENCES

  1. V. G. Bornyakov, M. I. Polikarpov, G. Schierholz, T. Suzuki, and S.N. Syritsyn, Nucl. Phys. B Proc. Suppl. 153, 25 (2006); arXiv:hep-lat/0512003 [hep-lat].

    Article  ADS  Google Scholar 

  2. V. G. Bornyakov, I. Kudrov, and R. N. Rogalyov, Phys. Rev. D 105(5), 054519 (2022); arXiv:2101.04196 [hep-lat].

  3. T. Suzuki and I. Yotsuyanagi, Phys. Rev. D 42, 4257 (1990).

    Article  ADS  Google Scholar 

  4. S. Hioki, S. Kitahara, S. Kiura, Y. Matsubara, O. Miyamura, S. Ohno, and T. Suzuki, Phys. Lett. B 272, 326 (1991);

    Article  ADS  Google Scholar 

  5. Erratum ibid.: Phys. Lett. B 281, 416 (1992).

  6. G. S. Bali, V. Bornyakov, M. Muller-Preussker, and K. Schilling, Phys. Rev. D 54 (1996) 2863.

    Article  ADS  Google Scholar 

  7. V. Bornyakov and M. Muller-Preussker, Nucl. Phys. Proc. Suppl. 106, 646 (2002).

    Article  ADS  Google Scholar 

  8. N. Sakumichi and H. Suganuma, Phys. Rev. D 90(11), 111501 (2014).

  9. A. S. Kronfeld, M. L. Laursen, G. Schierholz, and U. J. Wiese, Phys. Lett. B 198, 516 (1987).

    Article  ADS  Google Scholar 

  10. G. ’t Hooft, Nucl. Phys. B 190, 455 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  11. M. N. Chernodub and M. I. Polikarpov, in Confinement, Duality and Non-perturbative Aspects of QCD, Plenum Press, Cambridge (1998), p. 387; hep-th/9710205.

  12. R. W. Haymaker, Phys. Rept. 315, 153 (1999).

    Article  ADS  Google Scholar 

  13. J. Greensite, Prog. Part. Nucl. Phys. 51, 1 (2003).

    Article  ADS  Google Scholar 

  14. H. Shiba and T. Suzuki, Phys. Lett. B 333, 461 (1994).

    Article  ADS  Google Scholar 

  15. J. D. Stack, S. D. Neiman, and R. J. Wensley, Phys. Rev. D 50, 3399 (1994).

    Article  ADS  Google Scholar 

  16. G. ’t Hooft, in High Energy Physics, ed. by A. Zichichi, EPS International Conference, Palermo (1975).

  17. S. Mandelstam, Phys. Rep. 23, 245 (1976).

    Article  ADS  Google Scholar 

  18. Y. M. Cho, Phys. Rev. D 21, 1080 (1980); https://doi.org/10.1103/PhysRevD.21.1080

    Article  ADS  MathSciNet  Google Scholar 

  19. Y. S. Duan and M. L. Ge, Sinica Sci. 11, 1072 (1979).

    Google Scholar 

  20. L. Faddeev and A. J. Niemi, Phys. Rev. Lett. 82, 1624 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  21. L. D. Faddeev and A. J. Niemi, Nucl. Phys. B 776, 38 (2007).

    Article  ADS  Google Scholar 

  22. S. V. Shabanov, Phys. Lett. B 458, 322 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  23. S. V. Shabanov, Phys. Lett. B 463, 263 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  24. K. I. Kondo, T. Murakami, and T. Shinohara, Prog. Theor. Phys. 115, 201 (2006).

    Article  ADS  Google Scholar 

  25. S. Kato, K. I. Kondo, T. Murakami, A. Shibata, T. Shinohara, and S. Ito, Phys. Lett. B 632, 326 (2006).

    Article  ADS  Google Scholar 

  26. K. I. Kondo, S. Kato, A. Shibata, and T. Shinohara, Phys. Rep. 579, 1 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  27. S. Kato, K. I. Kondo, and A. Shibata, Phys. Rev. D 91(3), 034506 (2015).

  28. J. C. Biddle, W. Kamleh, and D. B. Leinweber, Phys. Rev. D 106(5), 054505 (2022); arXiv:2206.00844 [hep-lat].https://doi.org/10.1103/PhysRevD.106.054505

  29. A. S. Kronfeld, G. Schierholz, and U. J. Wiese, Nucl. Phys. B 293, 461 (1987).

    Article  ADS  Google Scholar 

  30. F. Brandstater, U. J. Wiese, and G. Schierholz, Phys. Lett. B 272, 319 (1991).

    Article  ADS  Google Scholar 

  31. V. Bornyakov, G. Schierholz, and T. Streuer, Nucl. Phys. B Proc. Suppl. 106, 676 (2002); arXiv:hep-lat/0111018 [hep-lat].https://doi.org/10.1016/S0920-5632(01)01813-8

    Article  ADS  Google Scholar 

  32. V. G. Bornyakov, H. Ichie, Y. Koma, Y. Mori, Y. Nakamura, D. Pleiter, M. I. Polikarpov, G. Schierholz, T. Streuer, H. Stüben, and T. Suzuki, Phys. Rev. D 70, 074511 (2004); arXiv:hep-lat/0310011 [hep-lat].https://doi.org/10.1103/PhysRevD.70.074511

  33. H. Ohata and H. Suganuma, Phys. Rev. D 102(1), 014512 (2020).

  34. V. G. Bornyakov, M. N. Chernodub, H. Ichie, Y. Koma, Y. Mori, Y. Nakamura, M. I. Polikarpov, G. Schierholz, A. A. Slavnov, H. Stüben, T. Suzuki, P. V. Uvarov, and A. I. Veselov, Phys. Rev. D 71, 114504 (2005); arXiv:hep-lat/0401014 [hep-lat].https://doi.org/10.1103/PhysRevD.71.114504

  35. J. Smit and A. van der Sijs, Nucl. Phys. B 355, 603 (1991).

    Article  ADS  Google Scholar 

  36. M. Albanese, F. Costantini, G. Fiorentini et al. (APE), Phys. Lett. B 192, 163 (1987).

    Article  ADS  Google Scholar 

  37. S. Necco and R. Sommer, Nucl. Phys. B 622, 328 (2002).

    Article  ADS  Google Scholar 

  38. J. D. Stack, W. W. Tucker, and R. J. Wensley, Nucl. Phys. B 639, 203 (2002); arXiv:hep-lat/0110196 [hep-lat].https://doi.org/10.1016/S0550-3213(02)00537-0

    Article  ADS  Google Scholar 

  39. R. Golubich and M. Faber, Particles 3(2), 444 (2020).

    Article  Google Scholar 

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  1. National Research Center Kurchatov Institute, Institute for High Energy Physics, 142281, Protvino, Russia

    V. G. Bornyakov & I. E. Kudrov

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  1. V. G. Bornyakov
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  2. I. E. Kudrov
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Correspondence to V. G. Bornyakov.

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Bornyakov, V.G., Kudrov, I.E. Decomposition of the Static Potential in SU(3) Gluodynamics. Jetp Lett. (2023). https://doi.org/10.1134/S0021364023600209

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  • DOI: https://doi.org/10.1134/S0021364023600209