论文标题
软黑洞信息悖论：麦克斯韦的页面曲线黑洞的柔软头发
Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole
论文作者
论文摘要
将麦克斯韦柔软的头发视为与u（1）占渐近区域和近晶体区域的u（1）量规场的过渡函数，U（1）量规参数$ ϕ $自然成为那些麦克斯韦柔和的自由度的良好标签。这种解释还建立了麦克斯韦柔软的头发与生活在中间区域的边缘模式之间的联系，该模式接受了明确定义的有效动作描述。我们通过欧几里得路径积分研究统计特性，该特性得出结论，状态的软头发密度随黑孔温度的增加。鹰辐射通过产生纠缠来增加黑洞的熵，而软模式的测量值将黑洞投射到较低的熵状态。鹰辐射的相位空间与软头发测量值之间的竞争会导致页面曲线的一个版本与黑洞的单一演变一致。
Treating Maxwell soft hair as a transition function that relates U(1) gauge fields living in the asymptotic region and near-horizon region, the U(1) gauge parameter $ϕ$ naturally becomes a good label of those Maxwell soft hair degrees of freedom. This interpretation also builds the connection between Maxwell soft hair and U(1) edge modes living in the intermediate region, which admits a well-defined effective action description. We study the statistical properties by Euclidean path integral, which concludes that the soft hair density of state increases with black hole temperature. Hawking radiations increase black hole entropy by creating entanglements, while the measurements of soft modes project the black hole onto lower entropy states. The competition between phase spaces of Hawking radiations and soft hair measurements gives rise to one version of the Page curve consistent with the unitary evolution of the black hole.
