标题： 量子几何与黑洞熵 显示英文标题

标题： Quantum Geometry and Black Hole Entropy

摘要： 引入了非微扰规范量子引力的“黑洞 sector”。证明了量子黑洞自由度可以用视界上的Chern-Simons场论来描述。结果表明，大而静止的黑洞熵与其视界面积成正比。比例常数取决于Immirzi参数，该参数固定了环量子引力中面积算符的谱；适当选择此参数可得到Bekenstein-Hawking公式S = A/4*l_p^2。以相同的Immirzi参数选择，对于携带电荷或dilatonic荷的黑洞，这一结果同样成立，这些黑洞不一定是接近极值的黑洞。 显示英文摘要

摘要： A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large non-rotating black hole is proportional to its horizon area. The constant of proportionality depends upon the Immirzi parameter, which fixes the spectrum of the area operator in loop quantum gravity; an appropriate choice of this parameter gives the Bekenstein-Hawking formula S = A/4*l_p^2. With the same choice of the Immirzi parameter, this result also holds for black holes carrying electric or dilatonic charge, which are not necessarily near extremal.