Non-Hermitian Lagrangian for quasi-relativistic fermions

2014/05/13 by Jean Alexandre, Alexandre, Jean
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1405.3213

openalex publication_date 2014/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a Lorentz-symmetry violating Lagrangian for free fermions, which is local but not Hermitian, whereas the corresponding Hamiltonian is Hermitian but not local. A specific feature of the model is that the dispersion relation is relativistic in both the IR and in the UV, but not in an intermediate regime, set by a given mass scale. The consistency of the model is shown by the study of properties expected in analogy with the Dirac Lagrangian.

Citations

• LIFSHITZ-TYPE QUANTUM FIELD THEORIES IN PARTICLE PHYSICS
• Data tables for Lorentz andCPTviolation

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