Gauge field theories with Lorentz-violating operators of arbitrary dimension

Understand

The classification of Lorentz- and CPT-violating operators in nonabelian gauge field theories is performed.

• We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields.
• Restrictions to the abelian, Lorentz-invariant, and isotropic limits are presented.
• We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics.