标题： SPARC星系运动学下改进重正化群引力的现象学 显示英文标题

标题： Phenomenology of renormalization group improved gravity from the kinematics of SPARC galaxies

摘要： 广义相对论的重整化群修正（RGGR）提出引力耦合常数 $\left(G\right)$ 存在对数跑动，从而导致引力描述的修改。 这有可能解释星系观测到的动力学特性，包括缺失质量问题。 我们首次基于星系形态类型，研究了SPARC目录中不同类型的星系的动力学特性。 我们用SPARC目录中从四种不同形态类型（早型、旋涡型、晚型和星爆型）中选出的100个星系样本，经验性地约束了RGGR模型参数 $\left(\bar\nu\right)$ 和质量-光度比。 我们的统计分析发现，RGGR模型能一致地拟合观测到的星系动力学特性。 约束后的RGGR模型参数也支持其与星系重子质量呈近似线性依赖关系的说法。 从我们的形态学研究中发现，参数 $\bar\nu$ 从早型星系到星爆型星系逐渐减小。 最后，我们用SPARC目录中的两个已确立的经验关系（径向加速度关系RAR和重子Tully-Fisher关系BTFR）测试了改进的重正化群引力理论，发现两者都得到了一致满足。 显示英文摘要

摘要： Renormalization Group correction to General Relativity (RGGR) proposes a logarithmic running of the gravitational coupling $\left(G\right)$, resulting in a modified description of gravity. This has the potential to explain the observed kinematics of the galaxies, including the missing-mass problem. We, for the first time, based on the galaxy morphological types, investigate the dynamics of a diverse collection of galaxies present in the Spitzer Photometry for Accurate Rotation Curve (SPARC) catalog. We phenomenologically constrain the RGGR model parameter $\left(\bar\nu\right)$ along with the mass-to-light ratio for a sample of 100 SPARC galaxies, selected from four different morphological types, viz. early, spiral, late, and starburst. Our statistical analysis finds RGGR to fit the observed galaxy kinematics consistently. The constrained RGGR model parameter also supports the claim that it has a near-linear dependence on the galactic baryonic mass. From our morphology study, we find that the parameter $\bar\nu$ decreases from the early-type to the starburst galaxies. Finally, the renormalization group improved gravity is tested against the two established empirical relations for the SPARC catalog, viz., the Radial Acceleration Relation (RAR) and the Baryonic Tully Fisher relation (BTFR), both are found to be satisfied consistently.