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arXiv · 2405.14942

Mapping 1+1-dimensional black hole thermodynamics to finite volume effects

Jean Alexandre·Drew Backhouse·Eleni-Alexandra Kontou·Diego Pardo Santos·Silvia Pla
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Abstract

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.

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Jean Alexandre, Drew Backhouse, Eleni-Alexandra Kontou, Diego Pardo Santos, Silvia Pla. 2024-05-23. Mapping 1+1-dimensional black hole thermodynamics to finite volume effects. https://arxiv.org/abs/2405.14942

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