(Des)confinamento de quarks e glúons em matéria taquiônica.

Abstract

In this work we investigate the broad subject of Confinement and De-confinement of Quarks and Gluons in Tachyon Matter. We investigate the behavior of their net static confinement potentials under the conditions temperature T, mass m and both T,m. We also investigate the behavior of their QCD string tension under the same conditions to establish either confinement or QCD string breaking (de-confinement). To achieve these, we use the phenomenon of color dielectric function coupled with the dynamics of the gauge field in a tachyon matter. The dielectric function creates the required strong interaction between the quarks and the gluons necessary to employ QCD theory. This method is efficient for obtaining naturally, the net potential associated with the confinement of the quarks and the gluons as a function of T, m and both (m, T). We demonstrate that the tachyon matter behaves the same way as the associated dielectric function modifies the Maxwell equations and influences the fields in a manner which results in confinement regime at T < Tc, coulombian regime at T = Tc , confinement regime at T = 0 and m for heavy quarks, confinement regime at m, T < Tc and de-confinement at m = 0, T = Tc. All the three separate studies are in three spatial dimensions.