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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.13626 |
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| _version_ | 1866916442945880064 |
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| author | Turner, Bethan |
| author_facet | Turner, Bethan |
| contents | Higher Time Derivative Theories are generated by considering space-time rotated KdV and mKdV systems. These systems are then studied to see if/how instabilities, usually associated with higher time derivative theories, manifest on the classical level by presenting both analytic and numerical solutions. For a linearised version of these space-time rotated systems we present a detailed quantisation of the theory that highlights the known dilemma on higher time derivative theories, that we have either negative norm states or the Hamiltonian being unbounded from below. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher Time Derivative Theories From Integrable Models Turner, Bethan High Energy Physics - Theory Mathematical Physics Higher Time Derivative Theories are generated by considering space-time rotated KdV and mKdV systems. These systems are then studied to see if/how instabilities, usually associated with higher time derivative theories, manifest on the classical level by presenting both analytic and numerical solutions. For a linearised version of these space-time rotated systems we present a detailed quantisation of the theory that highlights the known dilemma on higher time derivative theories, that we have either negative norm states or the Hamiltonian being unbounded from below. |
| title | Higher Time Derivative Theories From Integrable Models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2410.13626 |