Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian
| dc.creator | Ng, Y. Jack | |
| dc.creator | van Dam, H. | |
| dc.date | 2009-01-16 | |
| dc.date | 2009-02-20 | |
| dc.date.accessioned | 2026-07-07T12:52:16Z | |
| dc.date.available | 2026-07-07T12:52:16Z | |
| dc.description | The $(3 + 1)$-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in 3-dimensional projective space. The resulting Hamiltonian with a $γ_5$ mass term is not Hermitian, but is invariant under the combined transformation of parity reflection $\cal P$ and time reversal $\cal T$. When the $\cal PT$ symmetry is unbroken, the energy spectrum of the free spin-$\frac {1}{2}$ theory is real, with an appropriately shifted mass. | |
| dc.description | 7 pages, LaTeX; version accepted for publication in Phys. Lett. B; revised version incorporates useful suggestions from an anonymous referee | |
| dc.identifier | https://arxiv.org/abs/0901.2579 | |
| dc.identifier | http://arxiv.org/abs/0901.2579 | |
| dc.identifier | Phys.Lett.B673:237-239,2009 | |
| dc.identifier | doi:10.1016/j.physletb.2009.02.034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223243 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian | |
| dc.type | text |