标题： 杨-米尔斯瞬子作为黑洞蒸发的终点 显示英文标题

标题： Yang-Mills instantons as the end point of black hole evaporation

摘要： 非微扰的欧几里得路径积分贡献对于理解信息丢失悖论非常重要。 在本文中，我们重新研究了爱因斯坦-杨-Mills理论中的杨-Mills瞬子。 存在一个全局正则解，称为巴特尼克-麦克金农解，以及一个黑洞解。 正则解和黑洞解在小视界极限下平滑连接。 它们的欧几里得作用量仅由ADM质量表征，过渡概率遵循通常的贝肯斯坦-霍金熵公式。 因此，杨-Mills瞬子为黑洞蒸发提供了一个非微扰通道，与微扰过程有效竞争，并在蒸发末期成为主导因素。 我们表明，这些瞬子提供了一种从黑洞到正则时空的平滑过渡机制。 显示英文摘要

摘要： Non-perturbative contributions of the Euclidean path integral are important to understand the information loss paradox. In this paper, we revisit the Yang-Mills instantons in the Einstein-Yang-Mills theory. There exists a globally regular solution that is known as the Bartnik-McKinnon solution and a black hole solution. The regular and the black hole solutions are smoothly connected in the small horizon limit. Their Euclidean action is solely characterized by the ADM mass, and the transition probability follows the usual Bekenstein-Hawking entropy formula. Therefore, the Yang-Mills instantons provide a non-perturbative channel to the black hole evaporation, which competes effectively with perturbative processes, and becomes dominant toward the end of evaporation. We show that these instantons provide a smooth transition mechanism from a black hole to regular spacetime.