Dynamical systems with benign ghosts
arXiv:2110.11175 · doi:10.1103/PhysRevD.105.045018
Abstract
We consider finite and infinite-dimensional ghost-ridden dynamical systems whose Hamiltonians involve non positive definite kinetic terms. We point out the existence of three classes of such systems where the ghosts are benign, i.e. systems whose evolution is unlimited in time:(i) systems obtained from the variation of bounded-motion systems; (ii) systems describing motions over certain Lorentzian manifolds and (iii) higher-derivative models related to certain modified Korteweg--de Vries equations.
arXiv comment25 pages, 2 figures
References in corpus (13)
- Can the dark energy equation-of-state parameter w be less than -1?
- Benign vs malicious ghosts in higher-derivative theories
- Dirac Quantization of the Pais-Uhlenbeck Fourth Order Oscillator
- Stable Self-Interacting Pais-Uhlenbeck Oscillator
- Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
- Global solutions of the Einstein-Maxwell equations in higher dimensions
- Classical and Quantum Dynamics of Higher-Derivative Systems
- Supersymmetry vs ghosts
- Some Comments on Ghosts and Unitarity: The Pais-Uhlenbeck Oscillator Revisited
- Supersymmetric field theory with benign ghosts
- The global stability of the Minkowski space-time in harmonic gauge
- On exactly solvable higher-derivative systems
- Ghosts without runaway