Nonperturbative Lorentz Violation and Field Quantization

Abstract

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.

20 pages, 2 figures

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Cited by in corpus (2)

• Physical interpretation of large Lorentz violation via Weyl semimetals
• Relativistic spin precession in homogeneous background fields