
arXiv: 2007.05541
handle: 11568/1110577
We explore the possibility that theories with negative kinetic energy (ghosts) can be meta-stable up to cosmologically long times. In classical mechanics, ghosts undergo spontaneous lockdown rather than run-away if weakly-coupled and non-resonant. Physical examples of this phenomenon are shown. In quantum mechanics this leads to meta-stability similar to vacuum decay. In classical field theory, lockdown is broken by resonances and ghosts behave statistically, drifting towards infinite entropy as no thermal equilibrium exists. We analytically and numerically compute the run-away rate finding that it is cosmologically slow in 4-derivative gravity, where ghosts have gravitational interactions only. In quantum field theory the ghost run-away rate is naively infinite in perturbation theory, analogously to what found in early attempts to compute vacuum tunnelling; we do not know the true rate.
40 pages, 6 figures; published version
High Energy Physics - Theory, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Classical solutions in field theory, Field & string theory models & techniques, Finite temperature field theory, Integrability in field theory, Lower-dimensional field theories, Perturbation theory, Quantum gravity, Statistical field theory, Vacuum stability, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics
High Energy Physics - Theory, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Classical solutions in field theory, Field & string theory models & techniques, Finite temperature field theory, Integrability in field theory, Lower-dimensional field theories, Perturbation theory, Quantum gravity, Statistical field theory, Vacuum stability, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics
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