Non-Hermitian Lagrangian for Quasirelativistic Fermions
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 intermedia...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/527967 |
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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |