天体物理系统中的重整化群标度设定
Renormalization group scale-setting in astrophysical systems
摘要：
本文提出了一种更一般的广义相对论重整化群修正标度设定方法。理论方面的尺度设置程序和解释的重整化群运行规模进行了讨论。该程序阐述了几个高度对称的系统与物质的形式的一个理想流体和两个模型的运行的牛顿耦合和宇宙学项。对于物质服从多方状态方程的静态球对称系统，解析地进行了运行标度设定。所得到的运行规模的结果相匹配的Anastrous介绍了在最近的论文罗德里格斯，Letelier和夏皮罗，它提供了一个很好的解释旋转曲线的一些星系。一个系统的解释星系的旋转曲线，使用本文介绍的尺度设置程序被确定为一个重要的未来目标。
英文摘要：
A more general scale-setting procedure for General Relativity with Renormalization Group corrections is proposed. Theoretical aspects of the scale-setting procedure and the interpretation of the renormalization group running scale are discussed. The procedure is elaborated for several highly symmetric systems with matter in the form of an ideal fluid and for two models of running of the Newton coupling and the cosmological term. For a static spherically symmetric system with the matter obeying the polytropic equation of state the running scale-setting is performed analytically. The obtained result for the running scale matches the Ansatz introduced in a recent paper by Rodrigues, Letelier and Shapiro which provides an excellent explanation of rotation curves for a number of galaxies. A systematic explanation of the galaxy rotation curves using the scale-setting procedure introduced in this paper is identified as an important future goal.
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