In this talk, I discuss some recent theoretical progress concerning the
Lorentz- and CPT-violating extension of the standard model. The results
summarized include the development of an explicit connection between
noncommutative field theory and the standard model extension, placement of new
bounds in the photon sector, calculation of one-loop renormalization beta
functions in QED, and an analysis of field redefinitions.Comment: 9 pages, to appear in the proceedings for 31st Coral Gables
Conference, Ft. Lauderdale, Florid
