Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-16
Phys.Lett.B673:237-239,2009
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, LaTeX; version accepted for publication in Phys. Lett. B; revised version incorporates useful suggestions from an ano
Scientific paper
10.1016/j.physletb.2009.02.034
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 $\gamma_5$ 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.
Dam van H.
NG Yee Jack
No associations
LandOfFree
Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-118756