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VOLUME 95 (2012) | ISSUE 11 | PAGE 672
CPT, Lorentz invariance, mass differences, and charge non-conservation
Abstract
A non-local field theory which breaks discrete symmetries, including C, P, CP, and CPT, but preserves Lorentz symmetry, is presented. We demonstrate that at one-loop level the masses for particle and antiparticle remain equal due to Lorentz symmetry only. An inequality of masses implies breaking of the Lorentz invariance and non-conservation of the usually conserved charges.