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arXiv 2403.01436gr-qchep-th
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三维爱因斯坦-麦克斯韦系统的热力学

Thermodynamics of the 3-dimensional Einstein-Maxwell system

Shoichiro Miyashita

备注：
18pages, 9 figures; v3: typos corrected; v2: the introduction expanded, references and footnotes added, the implication of the result for the thermodynamics of 3-dimensional gravity added to the abstract and the conclusion
发表信息：
JHEP 06 (2024) 134
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AI总结：

该研究采用零圈鞍点近似分析三维爱因斯坦-麦克斯韦系统的热力学性质，发现Λ<0时系统热力学表现良好，Λ=0时三维系统热力学不稳定，与四维情形存在关键差异，为理解三维引力热力学提供两种可能方向。

摘要：

近期，笔者研究了带盒子边界的四维爱因斯坦-麦克斯韦系统的热力学性质[1]（JHEP 04 (2024) 083）。本文中，笔者采用零圈鞍点近似，且如常仅聚焦于简单拓扑扇区，对三维情形下的该系统热力学性质展开研究。与四维情形类似，当$\Lambda<0$时，系统热力学表现良好（这源于“金袋”鞍点的贡献）。但当$\Lambda=0$时，三维系统与四维系统出现关键差异：三维系统被证明热力学不稳定，而四维系统则是热力学稳定的。这为我们理解$\Lambda=0$的三维引力的热力学特性提供了两种可能：其一，零圈近似或仅限制于简单拓扑扇区，对于$\Lambda=0$的三维情形而言并不充分；其二，$\Lambda=0$时三维引力本身确实具有热力学不稳定性。

英文摘要：

Recently, I studied the thermodynamical properties of the Einstein-Maxwell system with a box boundary in 4-dimensions [1](JHEP 04 (2024) 083). In this paper, I investigate those in 3-dimensions using the zero-loop saddle-point approximation and focusing only on a simple topology sector as usual. Similar to the 4-dimensional case, the system is thermodynamically well-behaved when $Λ<0$ (due to the contribution of the "bag of gold" saddles). However, when $Λ=0$, a crucial difference to the 4-dimensional case appears, i.e. the 3-dimensional system turns out to be thermodynamically unstable, while the 4-dimensional one is thermodynamically stable. This may offer two options for how we think about the thermodynamics of 3-dimensional gravity with $Λ=0$. One is that the zero-loop approximation or restricting the simple topology sector is not sufficient for 3-dimensions with $Λ=0$. The other is that 3-dimensional gravity is really thermodynamically unstable when $Λ=0$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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