论文标题

4D广告中热力学相变的量子状态依赖性,高斯 - 骨网量子黑色孔,周围环绕着字符串云

Quantum State Dependence of Thermodynamic Phase Transition in 4D AdS Gauss-Bonnet Quantum Black Holes Surrounded With Cloud of Strings

论文作者

Ghaffarnejad, Hossein, Yaraie, Emad, Farsam, Mohammad

论文摘要

根据Lovelock定理,该模型\ cite {glav}不能适用于所有4D弯曲的空间中的Einstein Gauss Bonnet(EGB)重力,参考\ cite {ali}的作者通过应用差异性特性的断裂,提出了有效的模型。因此,我们使用后一个模型,而不是以前的模型来研究4D ADS EGB球形对称静态黑洞的热力学行为,该黑洞周围环绕着弦云。简而言之,我们的工作是\ cite {veer,heg}给出的作品的扩展,而不是使用\ cite {glav},而是通过应用\ cite {ali}。我们的度量溶液与HERMITE多项式(量子谐波振荡器)相比,其特征值来自模型的耦合常数的乘法来定义的单一尺度:正则化GB参数,ADS RADIUS,ADS ADS,黑洞ADM质量和绳子张力。因此,我们声称获得的度量解决方案实际上是量化黑洞的行为。因为GB项起源于量子物质场的重新归一化。我们还应该指出,这种量化与规范量化(Wheeler de Witt)不同。我们的研究表明,该量子黑洞的所有相变取决于Hermite量子数。

According to the Lovelock theorem where the model \cite{Glav} could not applicable for Einstein Gauss Bonnet (EGB) gravity in all 4D curved spacetimes, authors of the reference \cite{ali} presented an effective model by applying break of diffeomorphism property. Hence we use the latter model instead of former for study of thermodynamic behavior of a 4D AdS EGB spherically symmetric static black hole which surrounded with a cloud of string. In short our work is extension of the works given by \cite{Veer,Heg} but not by using \cite{Glav} but by applying \cite{ali}. Our metric solutions are obtained versus the Hermite polynomials (quantum harmonic Oscillator) for which eigen values come from single scale defined by multiplication of the coupling constants of the model: Namely the regularized GB parameter, AdS radius, the black hole ADM mass and the string tension. Hence we claim the obtained metric solution is in fact behavior of quantized black hole. Because the GB term is originated from renormalization of quantum matter fields. Also we should pointed that this kind of quantization is different with the canonical quantization (Wheeler De Witt). Our study shows that all phase transitions of this quantum black hole are dependent to the Hermite quantum numbers.

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