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Non-Hermitian Lagrangian for Quasirelativistic Fermions

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  • Jean Alexandre

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.

Suggested Citation

  • Jean Alexandre, 2014. "Non-Hermitian Lagrangian for Quasirelativistic Fermions," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-6, December.
  • Handle: RePEc:hin:jnlamp:527967
    DOI: 10.1155/2014/527967
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