Nuclear beams with energies of several TeV per nucleon are considered as carriers of intense fields of photons in the energy range up to 100 GeV. Cross sections for intermediate boson and Higgs production by two-photon collisions are predicted to be in the nanobarn range. Production of heavy neutral particles in peripheral collisions could be easily detectable because of low background.
In order to resolve the problem of infinite iorces and renomalizability of the self-energy of p i n t charges in non-uniform local dielectric media, we propose a formalism based on a ,lon-local dielectric function. Implications lor b t h Solid-slate pliysics and uhrnmodieleclric models of OCD are discussed. n i e iormalism to mlculate the energies of systems of charges is d'weloped. Tlr (integral) equation for the Green function is explicitly Solved lath tor a slowly varying dielearic medium and for the planar bauiidaly, and Uie results are "pared with llme of Ihe local approach. In agreement with the findings of &?ker and Zlchariusen, we find t l m tlle generic inirared form 6 x k 2 ( k 2 -0) auses linear confinement of opposite charges, hut does not produce the usual Am-tuk field configurations.
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.
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