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arxiv: hep-th/0503213 · v1 · submitted 2005-03-27 · ✦ hep-th

Ghost-free higher-derivative theory

A.V. Smilga This is my paper
classification ✦ hep-th
keywords ghost-freebelowboundedderivativesexamplehamiltonianhigherhigher-derivative
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We present an example of the quantum system with higher derivatives in the Lagrangian, which is ghost-free: the spectrum of the Hamiltonian is bounded from below and unitarity is preserved.

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  1. Unitary Time Evolution and Vacuum for a Quantum Stable Ghost

    hep-th 2026-04 unverdicted novelty 6.0

    A quantum ghost coupled polynomially to a harmonic oscillator has unitary evolution and a stable vacuum because a conserved quantity possesses a positive discrete spectrum.