Dynamical properties and flux tubes of the Friedberg-Lee model

Abstract

A new non-polynomial parametrization for the dielectric function of the Ftiedberg-Lee model is euggeted to enlorce the confinement of dynamical gluons. We investigated flux tube solutions of this model and show how divergences of the colour magnetic qua& interaction can be avoided. As effective models for confmement. we contraut the Riedberg-Lee model and Abelian Higgs models. We point aut pathdogid properties of the Friedberg-Lee model: (i) the lack of confinement of high-frequency gluons and (ii) sensitivity of the scalar field dynamics to unphysied vector fields in the non-pertwhstive vacuum, m = ov . These problems can be cured only by requiring that all derivatives of the dielectric function .(U) vanish in the non-pertubative vacuum. Uaing an ansets with this property we investigate flux tu& solutions. As effective models for confinement, we ContraPt the Friedberg-Lee model and the Abelian Higgs model.

Dynamical fragmentation of flux tubes in the Friedberg-Lee model

“…The result for the parallel configuration is shown in figure 3, where one can see that there is no long range interaction in this model due to confinement [42] for distances larger than 1 f m. But as soon as the tubes get in touch with each other at distances less than 1 f m, the confinement wall between them breaks down and we gain surface energy from the σ−field (3). The short range behaviour is strongly repulsive, which is clarified in figure 2, where the field configurations are shown for the σ−field (left side) and the colorelectric field (right side) throughout the adiabatic fusion: when the charges start to overlap, the coherent addition of the colorelectric field leads to a doubling of the E−field and thus to 4 times the colorelectric energy in the complete overlap configuration.…”

A dynamical model of color confinement

“…3. In order to obtain the generally accepted value of τ ≈ 1GeV /f m, we need to have values of α s ≈ 2, which is in agreement with the values of MIT-bag and other Friedberg-Lee model calculations [15,19,22].…”

Interactions of multiquark states in the chromodielectric model

“…In [17][18][19] a description of qq-strings was given, and in [20] the parameters of the CDM were adjusted to reproduce results of lattice calculations [21,22]. In the same work, the flux tube structure of a baryon like qqq-bag has been studied.…”