ISSIFU, A.; http://lattes.cnpq.br/5795934328107935; ISSIFU, Adamu.
Resumen:
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.