Black holes, holography and thermodynamics of gauge theories

Black holes, holography and thermodynamics of gauge theories
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黑洞、全息术和规范理论的热力学

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发表时间:
2011
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通讯作者:
N. Tetradis
N. Tetradis
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作者:
N. Tetradis

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我们通过 AdS/CFT 对应回顾了 [1, 2] 中发表的有关 FLRW 背景规范理论热力学的工作。与所谓的比约肯流的类似研究相反,我们认为的背景是均匀且各向同性的。这允许精确确定引力对偶,它通过 AdS-Schwarzschild 几何来识别,以 FLRW 形式设置边界度量的坐标表示。我们回顾了FLRW背景下双CFT的应力-能量张量的计算,以及与黑洞的温度和熵有关的CFT的温度和熵。我们还通过使用适当的边界条件推导出宇宙演化方程。
We review work published in [1, 2] on the thermodynamics of gauge theories on FLRW backgrounds through the AdS/CFT correspondence. Contrary to analogous studies of the so-called Bjorken flow, the backgrounds we consider are homogeneous and isotropic. This permits the exact determination of the gravitational dual, which is identified with the AdS-Schwarzschild geometry, expressed in coordinates that set the boundary metric in the FLRW form. We review the calculation of the stress-energy tensor of the dual CFT on the FLRW background, as well as the temperature and entropy of the CFT, which are related to the temperature and entropy of the black hole. We also derive the equation of cosmological evolution through the use of appropriate boundary conditions.