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Foundations of ghost stability

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arxiv 2408.16832 v2 pith:YWLWLZS3 submitted 2024-08-29 hep-th gr-qcmath-phmath.MP

Verónica Errasti Díez , Jordi Gaset Rifà , Georgina Staudt This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords stabilityresultsanalyticallybasisbelowcarefulcomprehensivelyconsequentially
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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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Cited by 5 Pith papers

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