  By applying chiral-perturbation-theory methods to the QCD sector of the
Lorentz-violating Standard-Model Extension, we investigate Lorentz violation in
the strong interactions. In particular, we consider the CPT-even pure-gluon
operator of the minimal Standard-Model Extension. We construct the lowest-order
chiral effective Lagrangian for three as well as two light quark flavors. We
develop the power-counting rules and construct the heavy-baryon
chiral-perturbation-theory Lagrangian, which we use to calculate
Lorentz-violating contributions to the nucleon self energy. Using the
constructed effective operators, we derive the first stringent limits on many
of the components of the relevant Lorentz-violating parameter. We also obtain
the Lorentz-violating nucleon-nucleon potential. We suggest that this potential
may be used to obtain new limits from atomic-clock or deuteron storage-ring
experiments.
