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Open Quantum Systems Decoherence

Is negative kinetic energy meta-stable?

arXiv
Authors: Christian Gross, Alessandro Strumia, Daniele Teresi, Matteo Zirilli

Year

2020

Paper ID

22319

Status

Preprint

Abstract Read

~2 min

Abstract Words

128

Citations

N/A

Abstract

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We explore the possibility that theories with negative kinetic energy (ghosts) can be meta-stable up to cosmologically long times.

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