Fermions with Lorentz-violating operators of arbitrary dimension

Understand

The theoretical description of fermions in the presence of Lorentz and CPT violation is developed.

• We classify all Lorentz- and CPT-violating and invariant terms in the quadratic Lagrange density for a Dirac fermion, including operators of arbitrary mass dimension.
• The exact dispersion relation is obtained in closed and compact form, and projection operators for the spinors are derived.
• The Pauli hamiltonians for particles and antiparticles are extracted, and observable combinations of operators are identified.