Aspects of time evolution in $p$-form field theories
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929696303742976 |
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| author | Ünlütürk, Kıvanç İ. Ramazanoğlu, Fethi M. |
| author_facet | Ünlütürk, Kıvanç İ. Ramazanoğlu, Fethi M. |
| contents | We show that higher form fields, specifically 2- and 3-forms in four spacetime dimensions, suffer from loss of hyperbolicity when they have self interaction. The equations of motion lose their wave-like characteristic in certain parts of the configuration space, and such problematic regions can also be reached dynamically from healthy initial data. These findings are analogous to recent results for vector fields, which are equivalently 1-forms, however, the details of the pathology can be different for higher forms. We also show that the possibility of more than one self interaction term in higher forms also leads to the amelioration of hyperbolicity problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Aspects of time evolution in $p$-form field theories Ünlütürk, Kıvanç İ. Ramazanoğlu, Fethi M. General Relativity and Quantum Cosmology We show that higher form fields, specifically 2- and 3-forms in four spacetime dimensions, suffer from loss of hyperbolicity when they have self interaction. The equations of motion lose their wave-like characteristic in certain parts of the configuration space, and such problematic regions can also be reached dynamically from healthy initial data. These findings are analogous to recent results for vector fields, which are equivalently 1-forms, however, the details of the pathology can be different for higher forms. We also show that the possibility of more than one self interaction term in higher forms also leads to the amelioration of hyperbolicity problems. |
| title | Aspects of time evolution in $p$-form field theories |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.15321 |