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arXiv 2402.00430hep-phhep-latnucl-th
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稠密双色QCD中由手征伙伴诱导的声速峰

Sound velocity peak induced by the chiral partner in dense two-color QCD

Mamiya Kawaguchi, Daiki Suenaga

AI总结:

本文在线性sigma模型中纳入σ介子作为 pion 的手征伙伴,扩展手征微扰论,成功解释并给出了稠密双色QCD中声速峰出现的质量与化学势条件。

摘要:

近期,在有限夸克化学势下的双色双味QCD格点模拟中观测到了声速的峰结构。虽然已与手征微扰论(ChPT)结果进行了比较,但ChPT未能重现该峰结构。在本研究中,为了扩展ChPT框架,我们利用线性sigma模型(LSM),在低能 pion 动力学之上纳入σ介子的贡献,σ介子被认定为 pion 的手征伙伴。基于LSM,我们在平均场近似下推导出热力学量以及声速的解析表达式。结果发现,这些量可由ChPT结果与修正项之和给出,其中修正项由手征伙伴——σ介子与 pion——之间的质量差表征。我们发现手征伙伴的贡献能够成功地产生声速峰。我们进一步证明,声速峰仅在 $m_σ>\sqrt{3}m_π$ 且 $μ_q > m_π$ 时出现,其中 $m_{σ(π)}$ 和 $μ_q$ 分别为σ介子(pion)质量和夸克化学势。文中还讨论了声速峰与迹反常符号之间的关联。

英文摘要:

Recently, the peak structure of the sound velocity was observed in the lattice simulation of two-color and two-flavor QCD at the finite quark chemical potential. The comparison with the chiral perturbation theory (ChPT) result was undertaken, however, the ChPT failed in reproducing the peak structure. In this study, to extend the ChPT framework, we incorporate contributions of the $σ$ meson, that is identified as the chiral partner of pions, on top of the low-energy pion dynamics by using the linear sigma model (LSM). Based on the LSM we derive analytic expressions of the thermodynamic quantities as well as the sound velocity within a mean-field approximation. As a result, we find that those quantities are provided by sums of the ChPT results and corrections, where the latter is characterized by a mass difference between the chiral partners, the $σ$ meson and pion. The chiral partner contributions are found to yield a peak in the sound velocity successfully. We furthermore show that the sound velocity peak emerges only when $m_σ>\sqrt{3}m_π$ and $μ_q > m_π$, with $m_{σ(π)}$ and $μ_q$ being the $σ$ meson (pion) mass and the quark chemical potential, respectively. The correlation between the sound velocity peak and the sign of the trace anomaly is also addressed.

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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