  The scalar sector of the Myers and Pospelov model is considered. This theory
introduces a dimension 5 operator with a preferred four-vector which breaks
Lorentz symmetry. We investigate various applications using the TFD formalism,
a topological field theory that allows the study of thermal and size effects on
an equal footing. In this context, Lorentz-violating corrections to the Casimir
effect and Stefan-Boltzmann law have been calculated.
