低能下护城河 regime 的剖析 II：关联
Dissecting the moat regime at low energies II: Correlations
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中文总结 AI 辅助
本研究剖析低能QCD中护城河 regime 对介子、夸克关联及势的影响，发现其振荡源于非物理黎曼叶极点，并增强介子谱函数，可能影响相图与临界端点。
中文摘要 AI 辅助
我们基于双味夸克介子模型在随机相位近似下，研究了护城河 regime 对低能 QCD 中介子和夸克关联函数以及夸克-反夸克势的影响。我们探究了在大密度和零温度下，护城河 regime 与夸克-反夸克势中弗里德尔振荡之间的关系。结果表明，来自护城河 regime 的振荡是一种独特现象，源于该区域非物理黎曼叶上的极点。此外，我们发现除了π介子和σ介子外，其他介子，包括矢量介子和η介子，也对护城河 regime 敏感。这尤其导致介子谱函数在类空区域得到增强。另一方面，夸克似乎基本不敏感。这可能对相图产生深远影响，例如手征相边界，包括临界端点的位置，即使在不存在非均匀不稳定性的情况下，也可能在护城河 regime 中受到影响。
英文摘要
We study the effects of the moat regime on meson and quark correlation functions and the quark-antiquark potential in low-energy QCD, building on the two-flavor quark meson model in a random-phase approximation. We investigate the relation between the moat regime and Friedel oscillations in the quark-antiquark potential at large density and zero temperature. As it turns out, oscillations from the moat regime are a distinct phenomenon, arising from poles on unphysical Riemann sheets in this region. Furthermore, we find that in addition to pions and the sigma meson, also other mesons, including vector mesons and the eta, are sensitive to the moat regime. This leads in particular to an enhancement of the meson spectral function in the spacelike region. The quarks, on the other hand, appear to be essentially insensitive. This can have far-reaching consequences for the phase diagram, as for example the chiral phase boundary, including the location of the critical endpoint, can be affected in the moat regime even in absence of inhomogeneous instabilities.
发表机构
- Institute for Theoretical Physics, Justus Liebig University Giessen（吉森大学理论物理研究所）
- Helmholtz Research Academy Hesse for FAIR (HFHF)（黑森FAIR赫尔姆霍兹研究学院）
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