AdS$_5$-Schwarzschild形变黑膜与流体力学输运系数
高能物理 - 理论
2020-06-15 v2 广义相对论与量子宇宙学
摘要
本文利用AdS/CFT的膜范式导出一类形变的AdS-Schwarzschild黑膜。对爱因斯坦-希尔伯特作用量连同Gibbons-Hawking项及消除潜在发散的抵消项求解,得到与对偶理论相关的配分函数,从而可在正则系综中将熵、压强与自由能作为状态函数计算。随后采用AdS/CFT近 horizon 方法计算剪切黏度与熵密度之比,进而限定定义该类形变黑膜参数的取值范围。
引用
@article{arxiv.1912.04837,
title = {AdS$_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients},
author = {A. J. Ferreira-Martins and P. Meert and R. da Rocha},
journal= {arXiv preprint arXiv:1912.04837},
year = {2020}
}
备注
12 pages, 3 figures. Improved version, with a thermodynamical analysis of the deformed black brane; additional Sect. V, with quantum corrections and the KSS bound violation