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arXiv 0908.3100hep-th
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量子引力、规范耦合常数和宇宙学常数

Quantum gravity, gauge coupling constants, and the cosmological constant

David J. Toms

摘要:

考虑了具有宇宙学常数的Einstein-Maxwell理论的量子化。我们得到了只涉及背景电磁场的单圈有效作用量中的所有几何发散项。这包括李-威克型项,以及负责电荷(或精细结构常数)的重整化群行为的项。特别感兴趣的是可能的规范条件的依赖性的结果,我们对此进行了详细的研究。我们表明,传统的背景场方法,这是相当于一个更传统的费曼图计算,导致规范条件依赖的结果一般。解决这个问题的一个方法是使用Vilkovisky-DeWitt有效作用量方法,这里给出了这个方法。量子引力被证明是导致不存在的运行电荷的贡献时,宇宙学常数消失。这重新开启了罗宾逊和威尔切克提出的改变高能规范理论标度行为的可能性,尽管我们的结果有所不同。我们展示了一个紫外不动点的可能性,它直接与宇宙学常数有关。

英文摘要:

The quantization of Einstein-Maxwell theory with a cosmological constant is considered. We obtain all logarithmically divergent terms in the one-loop effective action that involve only the background electromagnetic field. This includes Lee-Wick type terms, as well as those responsible for the renormalization group behaviour of the electric charge (or fine structure constant). Of particular interest is the possible gauge condition dependence of the results, and we study this in some detail. We show that the traditional background-field method, that is equivalent to a more traditional Feynman diagram calculation, does result in gauge condition dependent results in general. One resolution of this is to use the Vilkovisky-DeWitt effective action method, and this is presented here. Quantum gravity is shown to lead to a contribution to the running charge not present when the cosmological constant vanishes. This re-opens the possibility, suggested by Robinson and Wilczek, of altering the scaling behaviour of gauge theories at high energies although our result differs. We show the possibility of an ultraviolet fixed point that is linked directly to the cosmological constant.

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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