  We use the solution of the Dirac equation for quarkonium atom in the 4D Anti
de sitter (AdS$_{4}$) space to investigate the effect of the large negative
cosmological constant on the phenomenon of quark confinement. We do the
required calculations in the AdS$_{4}$ space to indicate that large
cosmological constant can describe the quark confinement. In fact using the
coulomb potential in Dirac equation while we employ the AdS metric will
additionally lead us to a linear potential in the quark-antiquark interaction
which can be considered to explain the quark confinement. This confining term
is arising essentially from the geometrical features of the space. On the other
hand the origin of the large cosmological constant can be justified by assuming
the appearance of micro black holes in the recent hadronic collision process
which is now current, for instance, at the LHC project.
