标题： 宇宙学常数作为斯特姆-利乌维尔问题的本征值及其重整化 显示英文标题

标题： The Cosmological Constant as an Eigenvalue of a Sturm-Liouville Problem and its Renormalization

摘要： 我们讨论了大质量引力子及其与宇宙常数的关系，这里宇宙常数被看作是一个Sturm-Liouville问题的特征值。 使用带有高斯试探波函数的变分方法作为研究此类问题的方法。 我们将方程近似到Schwarzschild背景下的一个环，并涉及zeta函数正则化来处理发散问题。 这种正则化与在弯曲背景下计算卡西米尔能量时出现的减法过程密切相关。 引入了一种重整化程序以去除无穷大并伴随一个重整化群方程。 显示英文摘要

摘要： We discuss the case of massive gravitons and their relation with the cosmological constant, considered as an eigenvalue of a Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a problem. We approximate the equation to one loop in a Schwarzschild background and a zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.