Advertisement

Chiral magnetic effect in SU(2) lattice gluodynamics at zero temperature

Abstract

The chiral magnetic effect is the appearance of a quark electric current along a magnetic-field direction in topologically nontrivial gauge fields. There is evidence that this effect is observed in collisions between heavy ions at the RHIC collider. The features of the chiral magnetic effect in SU(2) lattice gluodynamics at zero temperature have been investigated. It has been found that the electric current increases in the magnetic-field direction owing to quantum fluctuations of gluon fields. Fluctuations of the local charge density and chirality also increase with the magnetic field strength, which is a signature of the chiral magnetic effect.

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

Access options

Buy single article

Instant unlimited access to the full article PDF.

US$ 39.95

Price includes VAT for USA

References

  1. 1.

    N. O. Agasian and S. M. Fedorov, Phys. Lett. B 663, 445 (2008); E. S. Fraga and A. J. Mizher, Phys. Rev. D 78, 025016 (2008); Nucl. Phys. A 820, 103C (2009).

  2. 2.

    B. C. Tiburzi, Nucl. Phys. A 814, 74 (2008).

  3. 3.

    D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A 803, 227 (2008).

  4. 4.

    V. Skokov, A. Illarionov, and V. Toneev, arXiv:0907.1396.

  5. 5.

    S. A. Voloshin (STAR Collab.), arXiv:0806.0029.

  6. 6.

    H. Caines (STAR Collab.), arXiv:0906.0305.

  7. 7.

    K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008); H. J. Warringa, arXiv:0906.2803; D. E. Kharzeev, arXiv:0906.2808.

  8. 8.

    D. Kharzeev, R. D. Pisarski, and M. H. G. Tytgat, Phys. Rev. Lett. 81, 512 (1998).

  9. 9.

    D. Kharzeev, Phys. Lett. B 633, 260 (2006).

  10. 10.

    G.’ t Hooft, Phys. Rev. D 14, 3432 (1976); Erratum: Phys. Rev. D 18, 2199 (1978).

  11. 11.

    A. I. Vainstein, V. I. Zakharov, V. A. Novikov, and M. A. Shifman, Usp. Fiz. Nauk 136, 553 (1982) [Sov. Phys. Usp. 25, 195 (1982)].

  12. 12.

    H. B. Nielsen and M. Ninomiya, Phys. Lett. B 130, 389 (1983).

  13. 13.

    M. A. Metlitski and A. R. Zhitnitsky, Phys. Rev. D 72, 045011 (2005).

  14. 14.

    P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya, and M. I. Polikarpov, arXiv:0812.1740.

  15. 15.

    C. Aubin, K. Orginos, V. Pascalutsa, and M. Vanderhaeghen, arXiv:0809.1629.

  16. 16.

    F. X. Lee, R. Kelly, L. Zhou, and W. Wilcox, Phys. Lett. B 627, 71 (2005).

  17. 17.

    R. J. Crewther, Phys. Lett. B 70, 349 (1977).

  18. 18.

    V. G. Bornyakov, E. V. Luschevskaya, S. M. Morozov, et al., Phys. Rev. D 79, 054505 (2009).

  19. 19.

    H. Neuberger, Phys. Lett. B 417, 141 (1998).

  20. 20.

    P. H. Damgaard and Urs M. Heller, Nucl. Phys. B 309, 625 (1988).

  21. 21.

    L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon, New York, 1977, 3rd ed.).

Download references

Author information

Correspondence to P. V. Buividovich.

Additional information

Original Russian Text © P.V. Buividovich, E.V. Lushchevskaya, M.I. Polikarpov, M.N. Chernodub, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 90, No. 6, pp. 456–460.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Buividovich, P.V., Lushchevskaya, E.V., Polikarpov, M.I. et al. Chiral magnetic effect in SU(2) lattice gluodynamics at zero temperature. Jetp Lett. 90, 412 (2009). https://doi.org/10.1134/S0021364009180027

Download citation

PACS numbers

  • 11.30.Rd
  • 12.38.Gc
  • 13.40.-f