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arXiv 1402.4138gr-qc
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近视界辐射与自对偶圈量子引力

Near-Horizon Radiation and Self-Dual Loop Quantum Gravity

Marc Geiller, Karim Noui

摘要:

在自对偶圈量子引力的背景下计算了量子黑洞的近视界辐射。为此,我们首先利用$\text{SL}(2,\mathbb{C})$的么正旋量基将洛伦兹自旋泡沫模型的态分解为自对偶和反自对偶两部分,并证明了通过追踪一个手征分量得到的约化密度矩阵描述了Unruh温度下的热态.然后,我们表明,解析连续维数的$\text{SU}(2)$陈-西蒙斯希尔伯特空间,再现了贝肯斯坦-霍金熵在大自旋极限与大自旋有效作用量一致,采取的形式的配分函数的状态热化在Unruh温度,与离散能级给出的近视界能量的Frodden-Gosh-Perez,并且具有退化的基态,其是全息的并且负责熵。

英文摘要:

We compute the near-horizon radiation of quantum black holes in the context of self-dual loop quantum gravity. For this, we first use the unitary spinor basis of $\text{SL}(2,\mathbb{C})$ to decompose states of Lorentzian spin foam models into their self-dual and anti self-dual parts, and show that the reduced density matrix obtained by tracing over one chiral component describes a thermal state at Unruh temperature. Then, we show that the analytically-continued dimension of the $\text{SU}(2)$ Chern-Simons Hilbert space, which reproduces the Bekenstein-Hawking entropy in the large spin limit in agreement with the large spin effective action, takes the form of a partition function for states thermalized at Unruh temperature, with discrete energy levels given by the near-horizon energy of Frodden-Gosh-Perez, and with a degenerate ground state which is holographic and responsible for the entropy.

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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