论文标题
宇宙常数和截止的使用
The cosmological constant and the use of cutoffs
论文作者
论文摘要
对宇宙常数，零点能量和自节能量量表的贡献为$λ^4 $，其中$λ$是用于调节计算的紫外线临界值。我表明，在扰动理论中计算时，这种贡献消失了。该演示使用了鲜为人知的修改来对Honerkamp和Meetz以及Gerstein，Jackiw，Lee和Weinberg发现的扰动理论，在使用截止和与多个衍生物的相互作用时，它在手性理论和引力中发现时会发挥作用。在路径积分处理中，新相互作用来自路径积分度量。尽管无法解决宇宙学常数问题，但这降低了宇宙学常数对高能量截止的敏感性。该功能消除了超对称性的常见动机之一。它还质疑渐近安全计划的某些结果。还简要讨论了协方差和二次截止依赖性。
Of the contributions to the cosmological constant, zero-point energy and self energy contributions scale as $Λ^4$ where $Λ$ is an ultraviolet cutoff used to regulate the calculations. I show that such contributions vanish when calculated in perturbation theory. This demonstration uses a little-known modification to perturbation theory found by Honerkamp and Meetz and by Gerstein, Jackiw, Lee and Weinberg which comes into play when using cutoffs and interactions with multiple derivatives, as found in chiral theories and gravity. In a path integral treatment, the new interaction arises from the path integral measure. This reduces the sensitivity of the cosmological constant to the high energy cutoff significantly, although it does not resolve the cosmological constant problem. The feature removes one of the common motivations for supersymmetry. It also calls into question some of the results of the Asymptotic Safety program. Covariance and quadratic cutoff dependence are also briefly discussed.
