Mapping 1+1-dimensional black hole thermodynamics to finite volume effects
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arXiv
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| Format: | Preprint |
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2024
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| author | Alexandre, Jean Backhouse, Drew Kontou, Eleni-Alexandra Santos, Diego Pardo Pla, Silvia |
| author_facet | Alexandre, Jean Backhouse, Drew Kontou, Eleni-Alexandra Santos, Diego Pardo Pla, Silvia |
| contents | Both black hole thermodynamics and finite volume effects in quantum field theory violate the null energy condition. Motivated by this, we compare thermodynamic features between two $1+1$-dimensional systems: (i) a scalar field confined to a periodic spatial interval of length $a$ and tunneling between two degenerate vacua; (ii) a dilatonic black hole at temperature $T$ in the presence of matter fields. If we identify $a\propto T^{-1}$, we find similar thermodynamic behaviour, which suggests some deeper connection arising from the presence of non-trivial boundary conditions in both systems. We then extend our results to $2+1$ and $3+1$-dimensions and, although a more complete study is necessary, the connection found in $1+1$-dimensions seems to be valid in higher dimensions too. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mapping 1+1-dimensional black hole thermodynamics to finite volume effects Alexandre, Jean Backhouse, Drew Kontou, Eleni-Alexandra Santos, Diego Pardo Pla, Silvia High Energy Physics - Theory General Relativity and Quantum Cosmology Both black hole thermodynamics and finite volume effects in quantum field theory violate the null energy condition. Motivated by this, we compare thermodynamic features between two $1+1$-dimensional systems: (i) a scalar field confined to a periodic spatial interval of length $a$ and tunneling between two degenerate vacua; (ii) a dilatonic black hole at temperature $T$ in the presence of matter fields. If we identify $a\propto T^{-1}$, we find similar thermodynamic behaviour, which suggests some deeper connection arising from the presence of non-trivial boundary conditions in both systems. We then extend our results to $2+1$ and $3+1$-dimensions and, although a more complete study is necessary, the connection found in $1+1$-dimensions seems to be valid in higher dimensions too. |
| title | Mapping 1+1-dimensional black hole thermodynamics to finite volume effects |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.14942 |