Eur. Phys. J. C 28, 151-154 (2003)
DOI: 10.1140/epjc/s2003-01161-1

Massive or massless scalar field and confinement

M. Slusarczyk^{1, 2} and A. Wereszczynski<sup>1

1</sup>  Institute of Physics, Jagiellonian University, Reymonta 4, Krakòw, Poland
²  Department of Physics, University of Alberta, Edmonton, Alberta T6G 2J1, Canada

(Received: 15 November 2002 / Revised version: 31 January 2003 / Published online: 7 March 2003 )

Abstract
The generalization of QCD motivated classical SU(2) Yang-Mills theory coupled to a scalar field is discussed. The massive scalar field, corresponding to the scalar glueball, provides a confining potential for static, point-like, external sources. In the case of a massless scalar field screening solutions are found. However, there is a confining sector as well. Both, massive and massless confining solutions, are compared with phenomenological potentials. The case of a non-dynamical permittivity is also discussed.

© Società Italiana di Fisica, Springer-Verlag 2003