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arXiv · 2408.16832

Foundations of ghost stability

Verónica Errasti Díez·Jordi Gaset Rifà·Georgina Staudt
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Abstract

We present a new method to analytically prove global stability in ghost-ridden dynamical systems. Our proposal encompasses all prior results and consequentially extends them. In particular, we show that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation. Novel examples illustrate all our results. Our findings take root on a careful examination of the literature, here comprehensively reviewed for the first time. This work lays the mathematical basis for ulterior extensions to field theory and quantization, and it constitutes a gateway for inter-disciplinary research in dynamics and integrability.

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Verónica Errasti Díez, Jordi Gaset Rifà, Georgina Staudt. 2024-08-29. Foundations of ghost stability. https://doi.org/10.1002/prop.202400268

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