发表机构
University of Allahabad; Acharya Narendra Deo Kisan P.G. College; Maa Pateswari University（阿拉哈巴德大学; 阿查里亚·纳伦德拉·迪奥农民研究生学院; 玛雅·帕特什瓦里大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文比较二味与2+1味Polyakov-夸克-介子模型在临界端点附近的增强敏感度等高线，评估不同真空涨落处理及奇异味道对临界区域的影响。
AI 中文摘要
我们使用在壳重整化的二味夸克-介子（RQM）模型及其两个Polyakov环扩展变体——Log RPQM和PolyLog-glue RPQM模型，分别采用对数和PolyLog-glue形式的Polyakov环势（后者包含夸克反作用），计算了增强的夸克数敏感度比值$R_q$（按自由夸克气体敏感度归一化）在临界端点（CEP）周围的等高线。将这些等高线与曲率质量参数化的含真空项夸克-介子（QMVT）模型及其对数Polyakov环扩展（Log PQMVT）[117]的结果进行比较，以评估夸克单圈真空涨落的不同处理方式对临界区域的影响。尽管RQM/Log RPQM CEP附近的临界涨落区域在$T$-$\mu$范围上相对于QMVT/Log PQMVT情形有所缩小，但更高$T$、更低$\mu$的CEP位置将其增强敏感度区域移向更高$T$和更低$\mu$。由于$\sigma$和$\pi$的曲率和极点质量在RQM/Log RPQM模型中不同，但在QMVT/Log PQMVT中一致，我们还比较了各自CEP周围增强的标量敏感度（$\sim 1/m_\sigma^2$）的等高线。为了隔离奇异味道和$U_A(1)$反常的作用，我们将二味RQM/Log RPQM/PolyLog-glue RPQM模型计算得到的$R_q = 2, 3, 5$等高线与参考文献[146]中对应的2+1味RQM/RPQM模型的最新结果进行比较。
英文摘要
We compute contours of the enhanced quark number susceptibility ratio $R_q$, normalized by the free quark gas susceptibility, around the critical end point (CEP) using the on-shell renormalized two-flavor quark-meson (RQM) model and its two Polyakov-loop-extended variants: the Log RPQM and PolyLog-glue RPQM models, employing logarithmic and PolyLog-glue forms of the Polyakov-loop potential without and with quark back-reaction, respectively. These contours are compared with those from the curvature-mass parametrized quark-meson-with-vacuum-term (QMVT) model and its logarithmic Polyakov-loop extension (Log PQMVT) [117], to assess how different treatments of quark one-loop vacuum fluctuations affect the critical region. Although the critical fluctuation regions near the RQM/Log RPQM CEP are reduced in $T$-$μ$ extent relative to the QMVT/Log PQMVT case, the higher-$T$, lower-$μ$ CEP location shifts its enhanced-susceptibility domain toward higher $T$ and lower $μ$. Since the $σ$ and $π$ curvature and pole masses differ in the RQM/Log RPQM model but coincide in QMVT/Log PQMVT, we also compare contours of the enhanced scalar susceptibility ($\sim 1/m_σ^2$) around the respective CEPs. To isolate the roles of strange flavor and the $U_A(1)$ anomaly, we compare $R_q = 2, 3, 5$ contours from our two-flavor RQM/Log RPQM/PolyLog-glue RPQM model calculations with the corresponding 2+1 flavor RQM/RPQM model very recent results in Ref [146].
Comments36 pages 16 captioned Figures (Total number of Figures is 32)
