Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-01
Phys.Rev.Lett.100:110402,2008
Physics
High Energy Physics
High Energy Physics - Theory
revtex4, 4 pages
Scientific paper
10.1103/PhysRevLett.100.110402
Contrary to common belief, it is shown that theories whose field equations are higher than second order in derivatives need not be stricken with ghosts. In particular, the prototypical fourth-order derivative Pais-Uhlenbeck oscillator model is shown to be free of states of negative energy or negative norm. When correctly formulated (as a $\cP\cT$ symmetric theory), the theory determines its own Hilbert space and associated positive-definite inner product. In this Hilbert space the model is found to be a fully acceptable quantum-mechanical theory that exhibits unitary time evolution.
Bender Carl M.
Mannheim Philip D.
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