Lorentz-invariant CPT violation

Understand

A Lorentz-invariant CPT violation, which may be termed as long-distance CPT violation in contrast to the familiar short-distance CPT violation, has been recently proposed.

• This scheme is based on a non-local interaction vertex and characterized by an infrared divergent form factor.
• We show that the Lorentz covariant $T^{\star}$-product is consistently defined and the energy-momentum conservation is preserved in perturbation theory if the path integral is suitably defined for this non-local theory, although unitarity is generally lost.
• It is illustrated that T violation is realized in the decay and formation processes.