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arXiv 2502.04496hep-phhep-latnucl-th
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冷致密双色QCD的手征有效模型:线性σ模型方法

Chiral effective model of cold and dense two-color QCD: The linear sigma model approach

Daiki Suenaga

AI总结:

本文综述了线性σ模型在冷致密双色QCD中的应用,该模型基于Pauli-Gürsey对称性,成功再现格点模拟的强子质量谱,并用于研究拓扑磁化率、声速及广义GOR关系。

摘要:

本综述致力于总结冷致密双色QCD(QC₂D)中线性σ模型(LSM)的最新进展。在QC₂D中,由于符号问题的消失,格点模拟可以直接适用。在QC₂D中,理论和数值研究都表明,在足够大的化学势(μ_q)下存在所谓的重子超流相,其中双夸克凝聚主导基态。在该相中模拟的强子质量谱显示,同位旋单态(I=0)且0⁻态的质量显著降低,但这种模式无法用手征微扰理论描述。受这一事实的启发,我构建了基于手征对称性线性表示(更准确地说是Pauli-Gürsey对称性)的LSM。然后,研究表明我的LSM成功地在格点上模拟的宽广μ_q范围内再现了低激发强子质量谱。作为LSM的应用,评估了冷致密QC₂D中的拓扑磁化率和声速,并与格点结果进行比较。此外,分析了广义Gell-Mann-Oakes-Renner关系以及存在双夸克源时的强子质量谱。我还引入了包含自旋1强子的LSM扩展版本。

英文摘要:

This review is devoted to summarizing recent developments of the linear sigma model (LSM) in cold and dense two-color QCD (QC$_2$D), in which lattice simulations are straightforwardly applicable thanks to the disappearance of the sign problem. In QC$_2$D, both theoretical and numerical studies derive the presence of the so-called baryon superfluid phase at sufficiently large chemical potential ($μ_q$), where diquark condensates govern the ground state. The hadron mass spectrum simulated in this phase shows that the mass of an iso-singlet ($I=0$) and $0^-$ state is remarkably reduced, but such a mode cannot be described by the chiral perturbation theory. Motivated by this fact, I invent the LSM constructed upon the linear representation of chiral symmetry, or more precisely the Pauli-Gürsey symmetry. Then, it is shown that my LSM successfully reproduces the low-lying hadron mass spectrum in a broad range of $μ_q$ simulated on the lattice. As applications of the LSM, topological susceptibility and sound velocity in cold and dense QC$_2$D are evaluated to compare with lattice results. Besides, generalized Gell-Mann-Oakes-Renner relation and hardon mass spectrum in the presence of a diquark source are analyzed. I also introduce an extended version of the LSM incorporating spin-$1$ hadrons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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