D mesons as a probe of Casimir effect for chiral symmetry breaking
D mesons as a probe of Casimir effect for chiral symmetry breaking
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DOI：
10.1103/physrevd.100.034016
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发表时间：
2019-05
影响因子：
5
通讯作者：
Tsutomu Ishikawa;K. Nakayama;Daiki Suenaga;Kei Suzuki
中科院分区：
文献类型：
--
作者：
Tsutomu Ishikawa;K. Nakayama;Daiki Suenaga;Kei Suzuki
我们提出了$D$介子作为探针，调查有限体积效应的手征对称性破缺在零和有限的温度。利用包含轻夸克的$2+1$味线性σ模型，分析了$\ensurmath {\sigma}$平均场的Casimir效应，发现轻夸克的反周期边界能迅速恢复手征对称性，周期边界能催化手征对称性破缺.我们还显示了体积和温度平面上的$\ensuremath{\sigma}$平均场的相图。对于$D$介子，我们采用了一个有效的基于手征伙伴结构的模型，其中$D$介子的体积依赖性由$\ensuremath{\sigma}$平均场引起.我们发现${D}_{s}$介子对有限体积的敏感性比$D$介子小，这是由于${\ensuremath{\sigma}}_{s}$平均场的不敏感性造成的。在高温下具有周期边界的$D$介子的反常质量移动将有助于格点QCD模拟的检验。紧化空间维数的数量的依赖性也进行了研究。
We propose $D$ mesons as probes to investigate finite-volume effects for chiral symmetry breaking at zero and finite temperatures. By using the $2+1$-flavor linear sigma model with constituent light quarks, we analyze the Casimir effects for the $\ensuremath{\sigma}$ mean fields; the chiral symmetry is rapidly restored by the antiperiodic boundary for light quarks, and the chiral symmetry breaking is catalyzed by the periodic boundary. We also show the phase diagram of the $\ensuremath{\sigma}$ mean fields on the volume and temperature plane. For $D$ mesons, we employ an effective model based on the chiral-partner structure, in which the volume dependence of $D$ mesons is induced by the $\ensuremath{\sigma}$ mean fields. We find that ${D}_{s}$ mesons are less sensitive to finite volume than $D$ mesons, which is caused by the insensitivity of ${\ensuremath{\sigma}}_{s}$ mean fields. An anomalous mass shift of $D$ mesons at high temperature with the periodic boundary will be useful in examinations with lattice QCD simulations. The dependence on the number of compactified spatial dimensions is also studied.