arXiv subjects
Publications and source records attributed to A. Wereszczynski.
We show that in the dual version of the generalized Dick model monopole-anti-monopole pairs have finite energy. It is possible to use the potential between monopole and anti-monopole to find the mass spectrum of the glueballs. The results are discussed in connection with the Faddeev-Niemi model and toroidal soliton solutions. Some others finite energy configurations are found, both in the magnetic and electric sector.
A generalized Dick model with a potential term is discussed. The solution originating from a static, pointlike, color source is found to have a confining part. The comparison with a wide spectrum of phenomenological quark-antiquark potentials is presented.
We discuss a model with a massless scalar coupling to the Yang-Mills SU(2) gauge field in four-dimensional space-time. The solutions from static, pointlike colour source are given. There exists not only solutions with finite energy but also singular one which describes confinement. The confining potential depends on the $δ$ parameter of our model. The regular magnetic monopole solutions as well as the singular dyon configurations are also obtained. We fit the $δ$ parameter to the experimental data.
Long time ago Pagels and Tomboulis have proposed a model for the nonperturbative gluodynamics which in the Abelian sector can be reduced to a strongly nonlinear electrodynamics. In the present paper we investigate Abelian, static solutions with external charges in that model. Nonzero total charge implies that the corresponding field has infinite energy due to slow fall off at large distances. For a pair of opposite charges the energy is finite -- it grows like $R^α$, $0<α<1$ with the distance $R$ between the charges.