Non-Hermitian Lagrangian for Quasirelativistic Fermions

Abstract EN

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 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.