标题： 椭圆星系在广义相对论中的运动学与重整化群效应 显示英文标题

标题： Elliptical galaxies kinematics within general relativity with renormalization group effects

摘要： 重整化群框架可以应用于弯曲时空上的量子场论，但尚无证明表明引力耦合的β函数是否真的在远红外区域趋于零。 在最近的一篇论文中，我们表明如果广义相对论耦合G存在微小的运行，则螺旋星系内部的暗物质数量可能可以忽略不计。 在此，我们将所提出的模型扩展到椭圆星系，并对NGC 4494（一个普通的椭圆星系）和NGC 4374（一个巨大的椭圆星系）进行了详细分析。 为了将我们的结果与一个著名的标准暗物质图景的替代模型进行比较，我们还对NGC 4374进行了MOND评估。 在这个星系中，MOND导致了与观测到的速度弥散曲线显著的差异，并表现出明显的切向各向异性倾向。 另一方面，基于重整化群和广义相对论（RGGR）的方法可以很好地应用于这些椭圆星系，并且与较低的质量光度比（大约是Kroupa IMF类型）相容。 显示英文摘要

摘要： The renormalization group framework can be applied to Quantum Field Theory on curved space-time, but there is no proof whether the beta-function of the gravitational coupling indeed goes to zero in the far infrared or not. In a recent paper we have shown that the amount of dark matter inside spiral galaxies may be negligible if a small running of the General Relativity coupling G is present. Here we extend the proposed model to elliptical galaxies and present a detailed analysis on the modeling of NGC 4494 (an ordinary elliptical) and NGC 4374 (a giant elliptical). In order to compare our results to a well known alternative model to the standard dark matter picture, we also evaluate NGC 4374 with MOND. In this galaxy MOND leads to a significative discrepancy with the observed velocity dispersion curve and has a significative tendency towards tangential anisotropy. On the other hand, the approach based on the renormalization group and general relativity (RGGR) could be applied with good results to these elliptical galaxies and is compatible with lower mass-to-light ratios (of about the Kroupa IMF type).