  Violations of the Lorentz and CPT symmetries can appear as observable effects
in the direct production of top quarks and their subsequent decays. Earlier
results for the $q\bar{q}$ production process for $t\bar{t}$ pairs have been
extended to include the gluon fusion process which dominates at the LHC. In
addition results are obtained for testing CPT symmetry through single top quark
production.
