标题： 在修改色散关系背景下的有限零点引力能 显示英文标题

标题： Finite Zero Point Gravitational Energy in the context of Modified Dispersion Relations

摘要： 我们计算在高能下由Gravity's Rainbow预测的球对称背景中的零点能量。 在此背景下，我们将宇宙学常数视为相关特征值，建立了一个Sturm-Liouville问题。 特征值方程是Wheeler-DeWitt方程的一种重新表述。 我们发现，通过适当选择彩虹函数，可以处理普通的发散情况，这与其他传统方法的情况不同。 显示英文摘要

摘要： We compute the Zero Point Energy in a spherically symmetric background distorted at high energy as predicted by Gravity's Rainbow. In this context we setup a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The eigenvalue equation is a reformulation of the Wheeler-DeWitt equation. We find that the ordinary divergences can here be handled by an appropriate choice of the rainbow's functions, in contrast to what happens in other conventional approaches.