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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832554567232913408 |
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| author | Jean Alexandre |
| author_facet | Jean Alexandre |
| author_sort | Jean Alexandre |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5ccf7103e6f3496e904a1f0eb2b71e67 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5ccf7103e6f3496e904a1f0eb2b71e672025-02-03T05:51:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/527967527967Non-Hermitian Lagrangian for Quasirelativistic FermionsJean Alexandre0Department of Physics, King’s College London, London WC2R 2LS, UKWe 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.http://dx.doi.org/10.1155/2014/527967 |
| spellingShingle | Jean Alexandre Non-Hermitian Lagrangian for Quasirelativistic Fermions Advances in Mathematical Physics |
| title | Non-Hermitian Lagrangian for Quasirelativistic Fermions |
| title_full | Non-Hermitian Lagrangian for Quasirelativistic Fermions |
| title_fullStr | Non-Hermitian Lagrangian for Quasirelativistic Fermions |
| title_full_unstemmed | Non-Hermitian Lagrangian for Quasirelativistic Fermions |
| title_short | Non-Hermitian Lagrangian for Quasirelativistic Fermions |
| title_sort | non hermitian lagrangian for quasirelativistic fermions |
| url | http://dx.doi.org/10.1155/2014/527967 |
| work_keys_str_mv | AT jeanalexandre nonhermitianlagrangianforquasirelativisticfermions |