The free Lorentz-violating b_mu fermion theory admits consistent Fock-space quantization even for nonperturbative background fields, but the ground state is not unique without external preferred-frame physics.
Probing CPT invariance with top quarks at the LHC
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The first model-independent sensitivity to CPT violation in the top-quark sector is extracted from ATLAS and CMS measurements of the top and antitop kinematical mass difference. We find that the temporal component of a CPT-violating background field interacting with the top-quark vector current is restricted within the interval $[-0.13,0.29]$ GeV at 95% confidence level.
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Nonperturbative Lorentz Violation and Field Quantization
The free Lorentz-violating b_mu fermion theory admits consistent Fock-space quantization even for nonperturbative background fields, but the ground state is not unique without external preferred-frame physics.