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arXiv 1702.01324hep-ph
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夸克-介子模型中的非均匀手征凝聚

Inhomogeneous chiral condensate in the quark-meson model

Prabal Adhikari, Jens O. Andersen, Patrick Kneschke

摘要:

用双味夸克-介子模型作为QCD的低能有效模型,研究了在有限温度$T$重子化学势$μ_B$下的非均匀手征凝聚体。模型的参数是通过匹配介子和夸克的质量,和π衰变常数的物理值使用上壳和修改的最小减法计划。对非均匀性采用手征密度波近似,在平均场近似下计算了有效势,结果是完全解析的。非均匀相的大小敏感地依赖于π介子质量和是否包括真空涨落。最后,我们简要讨论了平均场相图。

英文摘要:

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite %temperature $T$ baryon chemical potential $μ_B$. The parameters of the model are determined by matching the meson and quark masses, and the pion decay constant to their physical values using the on-shell and modified minimal subtraction schemes. Using a chiral-density wave ansatz for the inhomogeneity, we calculate the effective potential in the mean-field approximation and the result is completely analytic. The size of the inhomogeneous phase depends sensitively on the pion mass and whether one includes the vacuum fluctuations or not. Finally, we briefly discuss the mean-field phase diagram.

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