从SPARC星系运动学看重整化群改进引力的唯象学
Phenomenology of renormalization group improved gravity from the kinematics of SPARC galaxies
AI总结：
本文首次按形态类型利用100个SPARC星系样本约束RGGR模型参数，发现其能一致拟合星系运动学、参数与重子质量近线性相关，并满足RAR和BTFR经验关系。
摘要：
重整化群对广义相对论的修正（RGGR）提出引力耦合常数$\left(G\right)$具有对数跑动，从而给出一种修正的引力描述。这有可能解释观测到的星系运动学，包括缺失质量问题。我们首次基于星系形态类型，研究了斯皮策精确旋转曲线测光（SPARC）星表中多种星系集合的动力学。我们对100个SPARC星系样本唯象地约束RGGR模型参数$\left(\barν\right)$以及质光比，这些星系选自四种不同形态类型，即早型、旋涡型、晚型和星暴型。我们的统计分析发现RGGR能够一致地拟合观测到的星系运动学。所约束的RGGR模型参数也支持其与星系重子质量具有近线性依赖关系的论断。通过形态学研究，我们发现参数$\barν$从早型星系到星暴星系逐渐减小。最后，我们用SPARC星表的两个已确立的经验关系检验了重整化群改进引力，即径向加速度关系（RAR）和重子塔利-费舍尔关系（BTFR），发现两者均得到一致满足。
英文摘要：
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 $\left(\barν\right)$ 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 $\barν$ 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.
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