Foundations of ghost stability
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929676281184256 |
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| author | Díez, Verónica Errasti Rifà, Jordi Gaset Staudt, Georgina |
| author_facet | Díez, Verónica Errasti Rifà, Jordi Gaset Staudt, Georgina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Foundations of ghost stability Díez, Verónica Errasti Rifà, Jordi Gaset Staudt, Georgina High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 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. |
| title | Foundations of ghost stability |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2408.16832 |