标题： 霍金辐射与二维量子引力理论中的反作用 显示英文标题

标题： Hawking Radiation and Back-Reaction in a Unitary Theory of 2D Quantum Gravity

摘要： 我们研究了CGHS二维刻度引力模型在幺正量子引力表述下的半经典极限以及度规的量子修正。 提出了一种新的计算反作用效应的方法，即以物质能量-动量张量的幂级数展开有效度规。 在半经典极限下，可以忽略量子修正，我们证明存在包含霍金辐射的物理态。 一阶反作用效应完全由霍金辐射引起。 它导致黑洞质量单调减少，并且当接近视界时，质量变得无下界。 估计了二阶量子修正。 由于在这种幺正理论中物质自由传播，我们预计高阶修正将使质量稳定，并且黑洞将完全蒸发，留下几乎平坦的空间。 显示英文摘要

摘要： We investigate the semiclassical limit and quantum corrections to the metric in a unitary quantum gravity formulation of the CGHS 2d dilaton gravity model. A new method for calculating the back-reaction effects has been introduced, as an expansion of the effective metric in powers of the matter energy-momentum tensor. In the semiclassical limit the quantum corrections can be neglected, and we show that physical states exists which contain the Hawking radiation. The first order back-reaction effect is entirely due to the Hawking radiation. It causes the black-hole mass to monotonically decrease, and it makes it unbounded from bellow as the horizon is approched. The second order quantum corrections have been estimated. Since the matter is propagating freely in this unitary theory, we expect that the higher order corrections will stabilize the mass, and the black hole will completely evaporate leaving a nearly flat space.