论文标题
全息rényi在JT重力中的相对差异
Holographic Rényi relative divergence in JT gravity
论文作者
论文摘要
我们全息计算rényi相对差异$d_α（ρ_{+} ||ρ_{ - }）$在两个密度矩阵$ρ_{+}之间，\; ρ_ { - } $由带有常数背景字段的路径积分制备$λ_{\ pm} $耦合到JT Gravity中的边缘运算符。我们的计算在两个源之间的差异$λ_{+}-λ_{ - } $之间是无扰动的。当这种差异很大时，散装几何形状将变成一个黑洞，其最高温度由rényi指数$α$允许。在此极限中，我们发现了rényi相对差异的分析表达，这是由背面反应的黑洞的壳动作给出的，加上背景场不连续变化的贡献。
We holographically compute the Rényi relative divergence $D_α (ρ_{+} || ρ_{-})$ between two density matrices $ρ_{+}, \; ρ_{-}$ prepared by path integrals with constant background fields $λ_{\pm}$ coupled to a marginal operator in JT gravity. Our calculation is non perturbative in the difference between two sources $ λ_{+} -λ_{-}$. When this difference is large, the bulk geometry becomes a black hole with the maximal temperature allowed by the Rényi index $α$. In this limit, we find an analytic expression of the Rényi relative divergence, which is given by the on shell action of the back reacted black hole plus the contribution coming from the discontinuous change of the background field.
