Kabat D, Lifschytz G, Lowe D A
Department of Physics, Columbia University, New York, NY 10027, USA.
Phys Rev Lett. 2001 Feb 19;86(8):1426-9. doi: 10.1103/PhysRevLett.86.1426.
We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large- N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional nonextremal black hole with 0-brane charge. This result is in accordance with the duality conjectured by Itzhaki, Maldacena, Sonnenschein, and Yankielowicz [Phys. Rev. D 58, 046004 (1998)]. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly coupled quantum mechanics.
我们在‘t Hooft大N极限下为有限温度的N个D0膜的量子力学开发了一种近似方案。使用该近似计算的量子力学熵与具有0膜电荷的十维非极端黑洞的贝肯斯坦 - 霍金熵非常吻合。这一结果符合伊扎基、马尔达西那、索南申和扬基洛维茨所推测的对偶性[《物理评论D》58, 046004 (1998)]。我们的近似方案为描述强耦合量子力学中黑洞的密度矩阵提供了一个模型。
