Abstract
Some properties of the lattice dielectric gauge theories (LDGT) at finite temperature are studied and discussed. We have found several essential points to be mentioned: 1) a deconfinement phase transition takes place at certain values of the dielectric potential parameters; 2) the space-like Wilson loop obeys an area law at any temperature; 3) the possibility of introducing a gauge invariant mass for the dielectric field leads to the existence of magnetic charge and sources of gluon current screening. Such properties could mean a lack of an infrared problem in dielectric theories in contrast to pure Yang-Mills theories at T=I=O. We show how a version of LDGT can appear for static modes of high-temperature lattice Wilson QCD and discuss the general properties of the effective model obtained. § 1. Magnetic fields at high temperature (instead of introduction) An extensive analysis of the finite temperature behaviour of quantum chromodynamics (QCD) is particularly dictated by rapidly increasing interest in credible results on the phase structure of strongly interacting matter. These results are highly desirable in many fields of contemporary relativistic physics ranging from cosmology to laboratory experiments on ultrarelativistic heavy-ion collisions. An attractive theoretical idea has been the perturbative treatment of a weakly interacting quark-gluon gas despite the serious infrared divergence which was quickly noticed. 1 l It appears at the g 6 ( T)-order of the coupling constant g( T) but the mass scale for nonstatic (with finite energy) fermion and boson modes of O(T) are radiatively generated encouraging confidence in the approach. In fact, the remaining boson zero modes demonstrate the distinctive behaviours in electric and magnetic sectors. The electrostatic fields acquire a thermal mass me1 ~ g( T) T as an infrared cutoff at the one-loop approximation unlike the magnetos tatic ones which are not screened at this level. The screening mass for the latter should be, at least, of g 2
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