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Mapping 1+1-dimensional black hole thermodynamics to finite volume effects
by Jean Alexandre, Drew Backhouse, Eleni-Alexandra Kontou, Diego Pardo Santos, and Silvia Pla
Submission summary
| Authors (as registered SciPost users): | Diego Pardo Santos |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00018v1 (pdf) |
| Date submitted: | 2024-11-07 17:45 |
| Submitted by: | Pardo Santos, Diego |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
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In this paper, the authors analyse two quantum systems, one being a massive particle on a circle, and the other - a 2D black hole. They compute the NEC violation and the entropy rate and both system and find that they behave similarly in certain regimes and with certain identification of the parameters. This observation is the main result of the paper.
I do not have any objections to the treatment of these particular quantum systems. However, the conclusion made by the authors does not sound conclusive to me. There are two reasons. One, of a general nature, is that perhaps in any two systems one can find two quantities of similar behaviour after looking sufficiently hard for suitable regimes and suitable identifications of the parameters. The second one is that in the 2D gravity model considered by the authors the black temperature is independent of the mass, see eq. (49). The corresponding thermodynamics looks too exotic to draw general conclusions.
In my opinion, the authors should present some good arguments that the effect that they observed is a universal one independent of the choice of particular models.
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