Critical phenomenon of quantum BTZ black holes

IF 4.8 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-09-22 DOI:10.1140/epjc/s10052-025-14768-9

Hong-Ming Cui, Zhong-Ying Fan

引用次数: 0

Abstract

We extend the thermodynamics of quantum BTZ black holes by treating the quantum backreaction strength parameter \(\nu \) as a thermodynamic variable. We find various novel features. The critical point appears at \(\nu _c=1\) and a first order transition occurs either below the critical temperature for \(\nu <\nu _c\) or above the critical temperature for \(\nu >\nu _c\). By solving the coexistence curve analytically, we analyze the phase structures and clarify an unexpected discontinuity around the critical point. The critical exponents are significantly different from the mean field theory results and violate one of the scaling laws. We present an intepretation for this by using a universal three scale factor hypothesis for critical behavior of thermodynamic potential. Finally, we prove that given an arbitrarily small angular momenta, only one stable black hole phase can exist and hence no transition will occur.

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量子BTZ黑洞临界现象

我们将量子反作用强度参数\(\nu \)作为热力学变量，扩展了量子BTZ黑洞的热力学。我们发现了各种新奇的特征。临界点出现在\(\nu _c=1\)，一阶转变发生在\(\nu <\nu _c\)的临界温度以下或\(\nu >\nu _c\)的临界温度以上。通过解析求解共存曲线，我们分析了相结构，并阐明了临界点附近的意外不连续。临界指数与平均场理论结果有显著差异，违反了标度定律之一。我们用热力学势的临界行为的通用三尺度因子假设来解释这一点。最后，我们证明了给定任意小的角动量，只存在一个稳定的黑洞相，因此不会发生跃迁。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.