Non-Hermitian Lagrangian for Quasirelativistic Fermions

Jean Alexandre

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

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 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:527967

DOI: 10.1155/2014/527967

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