AI 中文总结
本文研究RG自洽NJL模型的色超导夸克物质，发现uSC与dSC相交汇的双重临界点，完善了色味锁定相的熔化模式，验证了理论预期的临界结构。
AI 中文摘要
色超导夸克物质的Nambu-Jona-Lasinio（NJL）模型存在截断伪影，当温度或夸克化学势与模型截断可比时尤为明显，采用重整化群（RG）自洽正则化方案可消除这些伪影。本文在具有RG自洽正则化的三味NJL模型中，对电中性β平衡夸克物质开展系统研究：通过改变标量夸克对道的耦合常数，绘制化学势与温度平面的相图并确定无隙区域，重点关注色味锁定（CFL）相的熔化模式。在较大耦合下，CFL相如领先阶金兹堡-朗道分析预期，通过所谓的dSC相熔化；降低耦合时，相结构显著更丰富：高密度下CFL仍通过dSC相熔化，但在较低化学势处发现uSC相，uSC与dSC相在一个双重临界点交汇，该临界点的存在早已被预期，但从未在模型中明确证实。
英文摘要
Nambu--Jona-Lasinio (NJL) models of color-superconducting quark matter suffer from cutoff artifacts once temperature or quark chemical potential become comparable to the model cutoff. These artifacts can be removed employing a renormalization-group (RG) consistent regularization scheme. In this article we perform a systematic study of neutral beta-equilibrated quark matter within the three-flavor NJL model with RG consistent regularization. Varying the coupling constant in the scalar diquark channel, we map out the phase diagram in the plane of chemical potential and temperature, and identify the gapless domains. We particularly focus on the melting pattern of the color-flavor locked (CFL) phase. At larger couplings the CFL phase melts through a so-called $d$SC phase, as expected from leading-order Ginzburg--Landau analyses. Lowering the coupling, the phase structure becomes markedly richer: While at large densities the CFL phase still melts through a $dSC$ phase, we find a $uSC$ phase at lower chemical potential. These phases, $uSC$ and $dSC$ meet at a doubly critical point whose existence had been anticipated long ago but was never demonstrated explicitly in a model.
Comments13 pages, 3 figures. Contributed proceeding for the 2nd Workshop on Matter, Astrophysics, Gravitation, Ions and Cosmology (MAGIC 2025), Buenos Aires, September 2025. Comments are welcome
