标题： 二维半经典静态黑洞：霍金温度的有限质量修正和流出通量 显示英文标题

标题： Two-dimensional semiclassical static black holes: Finite-mass correction to the Hawking temperature and outflux

摘要： 在二维框架中，(经典)黑洞的表面引力与其质量$M$无关。 因此，在大$M$极限下，霍金温度和流出通量也与$M$无关。 （这与四维框架形成对比，在四维框架中，表面引力和温度与 1/M 成比例。） 然而，当考虑对黑洞几何的半经典反作用效应时，表面引力不再与$M$无关，霍金温度和流出通量也是如此。 这种效应在大$M$极限下消失，并随着$M$的减小而增加。 我们分析了二维静态黑洞的半经典场方程，并计算了霍金温度和流出通量的主导阶反作用效应（$\propto 1/M$）。 然后我们通过数值积分半经典场方程来验证我们的解析结果。 显示英文摘要

摘要： In the two-dimensional framework, the surface gravity of a (classical) black hole is independent of its mass $M$. As a consequence, the Hawking temperature and outflux are also independent of $M$ at the large-$M$ limit. (This contrasts with the four-dimensional framework, in which the surface gravity and temperature scale as 1/M.) However, when the semiclassical backreaction effects on the black-hole geometry are taken into account, the surface gravity is no longer $M$-independent, and the same applies to the Hawking temperature and outflux. This effect, which vanishes at the large-$M$ limit, increases with decreasing $M$. Here we analyze the semiclassical field equations for a two-dimensional static black hole, and calculate the leading-order backreaction effect ($\propto 1/M$) on the Hawking temperature and outflux. We then confirm our analytical result by numerically integrating the semiclassical field equations.