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Nonperturbative Lorentz violation and field quantization
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DOI：10.1016/j.physletb.2025.139414.png)
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Abstract
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Regimes of Lorentz-violating effective field theories are studied in which departures from Lorentz symmetry are nonperturbative. Within a free toy theory exhibiting Lorentz breakdown involving an operator of mass dimension three, it is shown that conventional methods suffice to achieve field quantization and Fock-space construction. However, the absence of an observer-invariant energy-positivity condition requires physical input beyond the free theory for the unambiguous identification of a ground state. An investigation of the role of thermodynamics in this context is instigated.
Keywords:
Lorentz violation
Quantization
Vacuum
Ground state
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