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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1404.0986hep-th
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质量球行列式

Massive sphere determinants

J. S. Dowker

摘要:

一个表达式的功能行列式上的一个大规模的(标量)领域来自Denef,Hartnoll和Sachdev使用准正规模式已存在于文献中的乘法异常解释。概述了有关的表达式,并给出了几个等价的版本。随质量的变化是用数值确定的。作为导出公式的一个应用,重新计算了宇宙的Hartle-Hawking几率(通过dS/CFT对应)。与Anninos,Denef和Harlow达成协议。计算扩展到所有(奇数)维。我还计算了波函数,它揭示了一个有趣的特征。

英文摘要:

An expression for the functional determinant on a sphere for a massive (scalar) field derived by Denef, Hartnoll and Sachdev using quasinormal modes is shown to exist already in the literature together with the multiplicative anomaly interpretation. The relevant expressions are outlined and several equivalent versions are given. The variation with mass is determined numerically. As an application of the derived formulae, the Hartle--Hawking probability of the Universe (via the dS/CFT correspondance) is recomputed. Agreement is found with Anninos, Denef and Harlow. The calculation is extended to all (odd) dimensions. I also compute the wave function which reveals an interesting feature.

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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