共查询到18条相似文献,搜索用时 203 毫秒
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按纠缠熵方法,计算了Gibbons-Maeda(G-M)dilaton黑洞视界外部与黑洞内量子态纠缠的一薄层内量子场的统计熵,得到了G-M dilaton黑洞的Bekenstein-Hawking熵.用广义不确定原理对量子态密度进行修正,克服了brick-wall模型中视界附近态密度的发散困难,该薄层可以紧贴在事件视界上.对brick-wall外部量子场中与黑洞内自由度有关联的自由度统计熵进行了计算,并把结果与brick-wall内量子场的熵进行比较分析,显示两结果具有与视界面积成正比的一致性,但后者能更
关键词:
纠缠熵
黑洞
广义不确定原理
截断 相似文献
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依据全息原理,通过计算Gibbons-Maeda dilaton黑洞事件视界上量子场的统计熵,得到了该黑洞的全息熵和Bekenstein-Hawking熵.计算中利用非对易量子场论,克服了普通量子场论中态密度在视界上的发散困难,避免了黑洞熵热气体方法中紫外截断的引入.用留数定理克服了计算中的积分困难,所得的结果定量成立.研究表明,黑洞熵可以视为其视界上量子场的熵;通过计算视界上量子态的统计熵可以得到黑洞熵,计算中可以且应该避免视界外量子态的影响.
关键词:
黑洞熵
全息原理
事件视界
非对易量子场论 相似文献
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利用广义不确定关系修正的态密度方程并采用Wentzel-Kramers-Brillouin (WKB) 近似方法, 计算了Reissner-Nordström-de Sitter (RNdS) 黑洞时空中标量场的统计力学熵. 结果表明, 由这种方法得到的黑洞熵与它的内、外视界面积和宇宙视界面积之和成正比, 这与采用其他方法所得的结果一致, 从而揭示了黑洞熵与视界面积之间的内在联系, 也进一步表明了黑洞熵是视界面上量子态的熵, 是一种量子效应. 相似文献
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利用广义不确定关系修正的态密度方程并采用Wentzel-Kramers-Brillouin(WKB)近似方法,计算了Reissner-Nordstrm-de Sitter(RNdS)黑洞时空中标量场的统计力学熵.结果表明,由这种方法得到的黑洞熵与它的内、外视界面积和宇宙视界面积之和成正比,这与采用其他方法所得的结果一致,从而揭示了黑洞熵与视界面积之间的内在联系,也进一步表明了黑洞熵是视界面上量子态的熵,是一种量子效应. 相似文献
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采用Tortoise坐标变换,约化视界面附近Dirac场方程,得到Kinnersley黑洞的Hawking温度.用薄膜brick-wall模型,计算Kinnersley黑洞的熵,得到通过选择适当的截断因子和薄层,在视界面附近薄层上的熵就是黑洞的熵,结果表明黑洞熵与视界面积成正比. 相似文献
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利用改进后的薄膜brick-wall模型,计算了动态广义球对称含荷黑洞Dirac场的熵.按薄层模型的观点,在视界附近薄场上的熵就是黑洞的熵.计算结果表明所得到的黑洞熵与其视界面积成正比.
关键词:
黑洞
薄膜brick-wall模型
熵
Dirac场 相似文献
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Taking into account the effect of the generalized uncertainty principle on the generalized black hole entropy and tacking the thin film brick-wall model, we calculate the entropy of the quantum scalar field in generalized static black hole. The Bekenstein–Hawking entropies of all well-known static black holes are obtained. The entropy of 2-D membrane just at the event horizon of static black hole is also calculated, and the result of the black hole entropy proportional to the event horizon area can be obtained more easily and generally. This discussion shows that black hole entropy is just identified with the entropy of the quantum field on the event horizon. The difference from the original brick-wall model is that the present result is convergent without any cutoff and the little mass approximation is removed. With residue theorem, the integral difficulty in the calculation of black hole entropy is overcome. 相似文献
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In accordance with the holographic principle, by counting the states of the scalar field just at the event horizon of the Vaidya-Bonner black hole, the holographic entropy bound of the black hole is calculated and the Bekenstein- Hawking formula is obtained, With the generalized uncertainty principle, the divergence of state density at event horizon in the ordinary quantum field theory is removed, With the residue theorem, the integral trouble in the calculation is overcome. The present result is quantitatively tenable and the holographic principle is realized by applying the quantum field theory to the black hole entropy problem. Compared with some previous works, it is suggested that the quantum states contributing to black hole entropy should be restricted on the event horizon. 相似文献
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Liu ChengZhou 《中国科学G辑(英文版)》2008,51(2):113-125
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用砖墙模型的方法,讨论了无源引力场对Barriola-Vilenkin黑洞熵的量子修正.计算表明, 量子修正应该包含两部分:其中一部分与视界面积成正比,在视界附近与紫外截断因子是 平方反比发散的;另一部分是两个对数发散项,这部分除了与黑洞的本身特征性质(M,η) 有关以外,还与自旋场的自旋有关.结果与标量场引起的量子修正具有完全不同的形式.
关键词:
砖墙模型
量子修正
黑洞熵 相似文献
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ZHAORen WUYue-Qin ZHANGLi-Chun 《理论物理通讯》2003,40(6):745-748
In this paper, by using quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of the 5-dimensional rotating black hole. Then via the improved brick-wall method and membrane model, we calculate the entropy of Bose field and Fermi field of the black hole. And it is obtained that the entropy of the black hole is not only related to the area of the outer horizon but also is the function of inner horizon‘s area. In our results, there are not the left out term and the divergent logarithmic term in the original brick-wall method.The doubt that why the entropy of the scalar or Dirac field outside the event horizon is the entropy of the black hole in the original brick-wall method does not exist. The influence of spinning degeneracy of particles on entropy of the black hole is also given. It is shown that the entropy determined by the areas of the inner and outer horizons will approach zero,when the radiation temperature of the black hole approaches absolute zero. It satisfies Nernst theorem. The entropy can be taken as the Planck absolute entropy. We provide a way to study higher dimensional black hole. 相似文献
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In this paper, by using quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of the 5-dimensional rotating black hole. Then via the improved brick-wall method and membrane model, we calculate the entropy of Bose field and Fermi field of the black hole. And it is obtained that the entropy of the black hole is not only related to the area of the outer horizon but also is the function of inner horizon‘s area. In our results, there are not the left out term and the divergent logarithmic term in the original brick-wall method.The doubt that why the entropy of the scalar or Dirac field outside the event horizon is the entropy of the black hole in the original brick-wall method does not exist. The influence of spinning degeneracy of particles on entropy of the black hole is also given. It is shown that the entropy determined by the areas of the inner and outer horizons will approach zero,when the radiation temperature of the black hole approaches absolute zero. It satisfies Nernst theorem. The entropy can be taken as the Planck absolute entropy. We provide a way to study higher dimensional black hole. 相似文献
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Taking into account the effect of the generalized uncertainty principle on the equation of the density of the states, we calculate the entropy of the quantum scalar field inside the brick-wall of the Garfinkle-Horowitz-Strominger dilaton black hole. The entropy proportional to the event horizon area is obtained without any cutoff. Compared to the entropy from the outside of the brick-wall, the two results are similar. This implies that the quantum theory of gravity can remove the divergence of the state density on the event horizon and avoid the cut-off in the original brick-wall model. 相似文献
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Considering corrections to all orders in Planck length on the quantum state density from generalized uncertainty principle,
we calculate the statistical entropy of scalar field near event horizon and cosmological horizon of Vaidya-de Sitter black
hole without any artificial cutoff. It is shown that the entropy is linear sum of event horizon area and cosmological horizon
area and there are similar proportional parameters related to changing rate of the horizon position. This is different from
the static and stationary cases. 相似文献