Abstract.
Lattice motivated triplet color scalar field theory is analyzed. We consider non-minimal as well as covariant derivative coupling with SU(2) gauge fields. Field configurations generated by external electric sources are presented. Moreover non-Abelian magnetic monopoles are found. Dependence on the spatial coordinates in the obtained solutions is identical as in the usual Abelian case. We show also that after a decomposition of the fields a modified Faddeev-Niemi action can be obtained. It contains explicit O(3) symmetry breaking term parameterized by the condensate of an isoscalar field. Due to that Goldstone bosons observed in the original Faddeev-Niemi model are removed.
Similar content being viewed by others
References
M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, New York 1983)
H.G. Dosch, Phys. Lett. B 190, 555 (1987); H.G. Dosch, Yu. Simonov, Phys. Lett. B 205, 339 (1988)
S.V. Shabanov, Phys. Lett. B 458, 322 (1999); Phys. Lett. B 463, 263 (1999)
L.D. Faddeev, A.J. Niemi, Phys. Rev. Lett. 82, 1624 (1999)
L.D. Faddeev, A.J. Niemi, Nature 387, 58 (1997)
H.B. Nielsen, A.Patkos, Nucl. Phys. B 195, 137 (1982)
J.F. Mathiot, G. Chanfray, H.J. Pirner, Nucl. Phys. A 500, 605 (1989)
R. Friedberg, T.D. Lee, Phys. Rev. D 15, 1694 (1977); Phys. Rev. D 18, 2623 (1978)
R. Dick, L.P. Fulcher, Eur. Phys. J. C 9, 271 (1999); R. Dick, Eur. Phys. J. C 6, 701 (1999)
G. Mack, Nucl. Phys. B 235, 197 (1984)
H. Arodź, H.J. Pirner, Acta Phys. Pol. B 30, 3895 (1999)
S. Dalley, B. van de Sande, Phys. Rev. D 56, 7917 (1997)
M. Ślusarczyk, A. Wereszczyński, Eur. Phys. J. C 23, 145 (2002); Acta Phys. Pol. B 32, 2911 (2001); Eur. Phys. J. C 28, 151 (2003); Eur. Phys. J. C 30, 537 (2003)
R. Dick, Phys. Lett. B 397, 193 (1996); R. Dick, Phys. Lett. B 409, 321 (1997)
M. Chabab, R. Markazi, E.H. Saidi, Eur. Phys. J. C 13, 543 (2000); M. Chabab, L. Sanhaji, hep-th/0311096
D. Bazeia et al. , hep-th/0210289; Mod. Phys. Lett. A 17, 1945 (2002)
L. Motyka, K. Zalewski, Z. Phys. C 69, 342 (1996); K. Zalewski, Acta Phys. Pol. B 29, 2535 (1998)
A. Martin, Phys. Lett. B 100, 511 (1981)
A.V. Nesterenko, hep-ph/0307283; hep-ph/0305091; hep-ph/0308288
T.T. Wu, C.N. Yang, in Properties of Matter Under Unusual Conditions, edited by H. Mark, S. Fernbach (Interscience, New York, 1969)
F.E. Close, A. Kirk, Eur. Phys. J. C 21, 531 (2001); UKQCD Collaboration (A. Hart et al. ), Phys. Rev. D 65, 034502 (2002); N. Ishii, M. Sugunuma, H. Matsufuru, Phys. Rev. D 66, 094506 (2002)
T. Burch, K. Orginos, D. Toussaint, Phys. Rev. D 64, 074505 (2001); Nucl. Phys. Proc. Suppl. 106, 382 (2002); K.J. Juge, J. Kuti, C. Morningstar, nucl-th/0307116; C. Michael, hep-ph/0308293
T.H.R. Skyrme, Nucl. Phys. 31, 556 (1961)
Y.M. Cho, Phys. Rev. D 21, 1080 (1980); Phys. Rev. D 23, 2415 (1981)
J. Hietarinta, P. Salo, Phys. Lett. B 451, 60 (1999)
R.A. Battye, P.M. Sutcliffe, Phys. Rev. Lett. 79, 363 (1997); Phys. Rev. Lett. 81, 4798 (1998)
Y. Nambu, Phys. Rev. D 10, 4262 (1974); S. Mandelstam, Phys. Rep. C 23, 245 (1976); A. Polyakov, Nucl. Phys. B 120, 429 (1977); G. ‘t Hooft, Nucl. Phys. B 190, 455 (1981)
L. Dittmann, T. Heinzl, A. Wipf, Nucl. Phys. (Proc. Suppl.) B 106, 649 (2002); Nucl. Phys. (Proc. Suppl.) B 108, 63 (2002)
L. Faddeev, A.J. Niemi, Phys. Lett. B 525, 195 (2002)
J. Sánchez-Guillén, Phys. Lett. B 548, 252 (2002); Erratum Phys. Lett. B 550, 220 (2002)
D. Bazeia, F.A. Brito, W. Freire, R.F. Ribeiro, hep-th/0311160
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 23 January 2004, Revised: 29 July 2004, Published online: 11 January 2005
Rights and permissions
About this article
Cite this article
Wereszczyński, A., Ślusarczyk, M. Non-Abelian color dielectric - towards the effective model of the low energy QCD. Eur. Phys. J. C 39, 185–193 (2005). https://doi.org/10.1140/epjc/s2004-02087-8
Issue Date:
DOI: https://doi.org/10.1140/epjc/s2004-02087-8