用最小面积法求解Anti-de-Sitter黑洞熵

本文利用基于贝肯斯坦（Bekenstein）熵边界假设的最小面积方法求解Anti-de-Sitter黑洞熵。在此方法中黑洞熵和辐射或吸收粒子的能量-动量（色散）关系有很密切联系，从而可以通过修正的色散关系而得到对黑洞熵的修正。本文讨论了2种修正色散关系对Anti-de-Sitter黑洞熵的影响。第1种色散关系的修正项与普朗克能标呈线性关系，结果得到的黑洞熵的主要修正项与视界面积的方根成正比，而另一种修正色散关系含有普朗克能标的平方项，所求得的黑洞熵的主要修正项是视界面积的对数形式，这个结果与其它通过量子引力途径得到的结果相吻合。

Investigating the Entropy of Anti-de-Sitter Black Holes Using the Method of the Minimum Area

We obtain the entropy of Anti-de-Sitter black holes using the method of the minimum increase of area based on the Bekenstein entropy assumption.In this scheme the black hole entropy closely involves in the energy-momentum(or dispersion) relations of particles such that we may obtain the entropy corrections through the modification of the dispersion relation.In this paper we introduce two kinds of modified dispersion relations(MDR) and study their impacts on the entropy of AdS black holes.It turns out that the one with linear correction term of the Planck energy leads to a contribution to black-hole entropy,while the other one which contains a term proportional to the square of the Planck energy predicts the entropy with a leading correction term of log-area type,agreeing with the results derived in quantum gravity theories.