标题： 平滑扰动到Rényi熵 显示英文标题

标题： Smooth Perturbations to Rényi Entropy

摘要： 一种方法被提出，用于通过与格点场论的比较来计算扰动无质量真空在球上的Rényi熵。 如果扰动态是高斯态，且相关函数平滑变化，扰动参数具有能量单位，我展示了对于奇数维中的所有Rényi参数$\alpha$和偶数维中的整数$\alpha$，Rényi熵的系数可以解析计算。 我将此过程应用于计算远距离球之间的Rényi互信息的大距离展开系数以及热场熵的低温展开系数。 显示英文摘要

摘要： A method is presented for computing the R\'enyi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory. If the perturbed state is Gaussian with smoothly varying correlation functions and the perturbation parameter has units of energy, I show the coefficients for R\'enyi entropy are analytically computable for all R\'enyi parameter $\alpha$ in odd dimensions and for integer $\alpha$ in even dimensions. I apply this procedure to compute coefficients for the large distant expansion for the R\'enyi mutual information of distant balls and the low temperature expansion for the entropy of a thermal field.