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arXiv 2009.00728hep-thgr-qchep-phnucl-th
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宇宙学常数和截断值的使用

The cosmological constant and the use of cutoffs

John F. Donoghue

摘要:

在对宇宙学常数的贡献中,零点能量和自能贡献的比例为$Λ^4$,其中$Λ$是用于调节计算的紫外截止。我表明,这种贡献消失时,微扰理论计算。这个演示使用了一个鲜为人知的修改微扰理论发现Honerkamp和Meetz和Gerstein,Jackiw,Lee和Weinberg发挥作用时,使用截断和相互作用与多个衍生物,发现在手征理论和重力。在路径积分处理中,新的相互作用产生于路径积分测度。这大大降低了宇宙学常数对高能截止的敏感性,尽管它并没有解决宇宙学常数的问题。这个特性消除了超对称性的一个常见动机。它也对渐近安全计划的一些结果提出了质疑。协方差和二次截断相关也作了简要讨论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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