  Low-energy remnant fundamental symmetry violations may be present in nature
at levels attainable in upcoming experiments. These effects may arise through
spontaneous symmetry breaking in a more complete Lorentz covariant theory
underlying the standard model. In this work the issue of parameterizing such
violations in a consistent and complete manner is addressed. The approach is to
use the mechanism of spontaneous symmetry breaking to generate all possible
terms consistent with gauge invariance and power-counting renormalizability to
construct an extension of the standard model that includes Lorentz- and
CPT-breaking terms. A consistent quantization of the theory is developed,
conventional quantum field theoretic techniques are shown to apply, and some
ramifications for quantum electrodynamics are explored.
