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CPT violation implies violation of Lorentz invariance
1Center for Theoretical Physics, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA. owgreen@physics.umd.edu
Physical Review Letters
|December 18, 2002
Summary
Violating charge-parity-time (CPT) invariance in interacting theories also breaks Lorentz invariance. CPT invariance alone does not guarantee out-of-cone Lorentz invariance, and CPT violation with differing particle-antiparticle masses implies nonlocality.
Area of Science:
- * Theoretical physics
- * Fundamental symmetries
Background:
- * CPT invariance is a fundamental symmetry in quantum field theory.
- * Lorentz invariance is crucial for special relativity and describes spacetime symmetries.
Purpose of the Study:
- * To explore the relationship between CPT invariance and Lorentz invariance.
- * To investigate the implications of CPT violation for spacetime symmetries and locality.
Main Methods:
- * Theoretical analysis of interacting quantum field theories.
- * Examination of conditions under which CPT violation implies Lorentz violation.
Main Results:
- * Interacting theories violating CPT invariance necessarily violate Lorentz invariance.
- * CPT invariance is not sufficient for ensuring out-of-cone Lorentz invariance.
- * Theories violating CPT due to differing particle and antiparticle masses exhibit nonlocal behavior.
Conclusions:
- * There is a strong interdependence between CPT and Lorentz invariance in interacting theories.
- * Nonlocality is a necessary consequence of CPT violation when particle and antiparticle masses differ.