CPT violation implies violation of Lorentz invariance.

@article{Greenberg2002CPTVI,
  title={CPT violation implies violation of Lorentz invariance.},
  author={O. W. Greenberg},
  journal={Physical review letters},
  year={2002},
  volume={89 23},
  pages={
          231602
        }
}
  • O. W. Greenberg
  • Published 28 January 2002
  • Physics, Psychology
  • Physical review letters
A interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and antiparticle masses must be nonlocal. 
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References

SHOWING 1-10 OF 22 REFERENCES
Stability, causality, and Lorentz and CPT violation
Stability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a
Neutrinos as the messengers of CPT violation
CPT violation has the potential to explain all three existing neutrino anomalies without enlarging the neutrino sector. CPT violation in the Dirac mass terms of the three neutrino flavors preserves
$CPT$ violation and the standard model
Spontaneous CPT breaking arising in string theory has been suggested as a possible observable experimental signature in neutral-meson systems. We provide a theoretical framework for the treatment of
A study of gauge-invariant non-local interactions
  • M. Chretien, R. Peierls
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1954
The paper investigates the possibility of introducing ‘non-local’ interactions, i. e. interactions represented by four-dimensional integral operations, in order to eliminate divergences in the
Lorentz-Violating Extension of the Standard Model
In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal
Properties of form factors in non-local theories
SummaryThe conditions for absence of non-causal actions over large time intervals in non-local theories are expressed as conditions on the Fourier transform of the form function.RiassuntoLe
General Theory of Quantized Fields
Give us 5 minutes and we will show you the best book to read today. This is it, the the general theory of quantized fields that will be your best choice for better reading book. Your five times will
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