Abstract
We study a model of the color skyrmion in the vacuum field in the framework of the color group SU(3) and one flavor in the four-dimensional space. We obtain the static mass functional and variational equations, determine the asymptotic behavior, and evaluate the interskyrmion potential for the case of the spherically symmetric skyrmion configuration.
Similar content being viewed by others
REFERENCES
T. H. R. Skyrme, Proc. Roy. Soc. London A, 260, 127 (1961).
A. P. Balachandran, V. P. Nair, S. G. Rajeev, and A. Stern, Phys. Rev. D, 27, 1152, 2772 (1983).
E. Witten, Nucl. Phys. B, 223, 422, 433 (1983).
L. D. Faddeev, Lett. Math. Phys., 1, 289 (1976).
L. D. Faddeev and A. J. Niemi, Nature, 387, 58 (1997); Phys. Lett. B, 449, 214 (1999); 464, 90 (1999).
A. Andrianov, Phys. Lett. B, 157, 425 (1985).
N. I. Karchev and A. A. Slavnov, Theor. Math. Phys., 65, 1099 (1985).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov, Lett. Math. Phys., 11, 217 (1986).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov, Theor. Math. Phys., 70, 43 (1987).
R. D. Ball, Int. J. Mod. Phys. A, 5, 4391 (1990).
A. A. Andrianov and Yu. V. Novozhilov, Phys. Lett. B, 153, 422 (1985).
V. A. Andrianov and V. Yu. Novozhilov, Sov. J. Nucl. Phys., 43, 628 (1986).
D. B. Kaplan, Phys. Lett. B, 235, 163 (1990); Nucl. Phys. B, 351, 357 (1991).
G. Gomelski, M. Karliner, and S. B. Selipsky, Phys. Lett. B, 323, 182 (1994).
J. Ellis, Y. Frishman, A. Hanany, and M. Karliner, Nucl. Phys. B, 382, 189 (1992).
Y. Frishman. A. Hanany, and M. Karliner, Nucl. Phys. B, 424, 3 (1994); “On the stability of quark solitons in QCD,” hep-ph/9507206 (1995).
V. Novozhilov and Yu. Novozhilov, Phys. Lett. B, 522, 49 (2001).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Novozhilov, V.Y., Novozhilov, Y.V. Color Skyrmion in the Vacuum Field: Asymptotic Behavior, Stability, and the Possibility of Confinement. Theoretical and Mathematical Physics 131, 498–505 (2002). https://doi.org/10.1023/A:1015101702599
Issue Date:
DOI: https://doi.org/10.1023/A:1015101702599