Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-16
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
We show that statistics is crucial for the instability problem derived from higher time derivatives. In fact, and contrary to previous statements, we check that when dealing with Fermi systems, the Hamiltonian is well bounded and the quantum states are normalizable. Although, ghost states are still present, they do not affect unitarity under certain conditions. We first analyze a quantum oscillator involving Grassman variables and then we generalize it to a Dirac field. Finally, we discuss some physical implications
Lopez-Sarrion Justo
Reyes Carlos M.
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