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| HAL : in2p3-00149615, version 1 |
| arXiv : hep-th/0703038 |
| DOI : 10.1088/1126-6708/2007/07/036 |
| Fiche détaillée |  Récupérer au format |
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| Journal of High Energy Physics 07 (2007) 036 |
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| Cryptoreality of nonanticommutative Hamiltonians |
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| E.A. IvanovA.V. Smilga1 |
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| (2007) |
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| We note that, though nonanticommutative (NAC) deformations of Minkowski supersymmetric theories do not respect the reality condition and seem to lead to non-Hermitian Hamiltonians H, the latter belong to the class of "cryptoreal'' Hamiltonians considered recently by Bender and collaborators. They can be made manifestly Hermitian via the similarity transformation H -> exp{R} H exp{-R} with a properly chosen R. The deformed model enjoys the same supersymmetry algebra as the undeformed one, though being realized differently on the involved canonical variables. Besides quantum-mechanical models, we treat, along similar lines, some NAC deformed field models in 4D Minkowski space. |
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| 1 : | SUBATECH - Laboratoire SUBATECH Nantes |
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| Thème(s) | : | Mathématiques/Physique mathématique Physique/Physique mathématique Physique/Physique des Hautes Energies - Théorie Physique/Physique Quantique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/hep-th/0703038 |
| in2p3-00149615, version 1 | |
| http://hal.in2p3.fr/in2p3-00149615 | |
| oai:hal.in2p3.fr:in2p3-00149615 | |
| Contributeur : Dominique Girod | |
| Soumis le : Lundi 28 Mai 2007, 09:31:05 | |
| Dernière modification le : Vendredi 1 Février 2008, 14:36:00 | |
