Crypto-Hermiticity of nonanticommutative theories
| dc.creator | Smilga, A. V. | |
| dc.date | 2008-01-17 | |
| dc.date.accessioned | 2026-07-07T08:55:02Z | |
| dc.date.available | 2026-07-07T08:55:02Z | |
| dc.description | We note that, though nonanticommutative 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 crypto-Hermitian (or quasi-Hermitian) Hamiltonians having attracted recently a considerable attention. They can be made manifestly Hermitian via the similarity transformation H -> e^R H e^{-R} with a properly chosen R. The deformed model enjoys the same supersymmetry algebra as the undeformed one though it is difficult in some cases to write explicit expressions for a half of supercharges. The deformed SQM models make perfect sense. It is not clear whether it is also the case for NAC Minkowski field theories -- the conventionally defined S--matrix is not unitary there. | |
| dc.description | 9 pages, 1 figure. Invited contribution to the Proceedings of the International Workshop on Supersymmetry and Quantum Symmetries, Dubna, July 30 - August 4, 2007. SQS07 | |
| dc.identifier | https://arxiv.org/abs/0801.2686 | |
| dc.identifier | http://arxiv.org/abs/0801.2686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146150 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Crypto-Hermiticity of nonanticommutative theories | |
| dc.type | text |