标题： D-膜反弹错误信息 显示英文标题

标题： D-Brane Recoil Mislays Information

摘要： 我们讨论光闭弦态与$D$膜的散射，考虑到后者上的量子反冲效应，这些效应由一对对数算符描述。 光粒子和$D$膜子系统各自可以由于它们之间的相互作用而具有外部源的世界面来描述。 这会将每个子系统偏离临界性，通过与一个Liouville场的修饰来补偿，其零模我们解释为时间。 $D$膜和闭弦的相应演化方程分别为Fokker-Planck型和修正的量子Liouville型。 由于它们之间的相互作用，每个子系统的明显熵增加，我们将其解释为由于未观测到其他纠缠子系统而导致的信息丢失。 我们推测这些结果对于闭弦通过稀疏的虚拟$D$膜气体传播的可能影响。 显示英文摘要

摘要： We discuss the scattering of a light closed-string state off a $D$ brane, taking into account quantum recoil effects on the latter, which are described by a pair of logarithmic operators. The light-particle and $D$-brane subsystems may each be described by a world-sheet with an external source due to the interaction between them. This perturbs each subsystem away from criticality, which is compensated by dressing with a Liouville field whose zero mode we interpret as time. The resulting evolution equations for the $D$ brane and the closed string are of Fokker-Planck and modified quantum Liouville type, respectively. The apparent entropy of each subsystem increases as a result of the interaction between them, which we interpret as the loss of information resulting from non-observation of the other entangled subsystem. We speculate on the possible implications of these results for the propagation of closed strings through a dilute gas of virtual $D$ branes.