Topological Susceptibility at Finite Temperature in a Random Matrix Model

Topological Susceptibility at Finite Temperature in a Random Matrix Model
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随机矩阵模型中有限温度下的拓扑磁化率

DOI:
10.1142/s0217732308029599
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发表时间:
2008
影响因子:
1.4
通讯作者:
T. Hatsuda
T. Hatsuda
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
M. Ohtani;C. Lehner;T. Wettig;T. Hatsuda

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用随机矩阵模型分析了拓扑磁化率与温度和夸克质量的关系。结合随机矩阵和最低Matsubara频率的模型定性地描述了QCD的手性相变,但在有限温度下,它在热力学极限下通过体积的倒数抑制了拓扑磁化率。我们提出了一个修正模型,该模型在有限温度下的拓扑磁化率表现合理。修正模型再现了传统模型的手性凝聚和零温度下的拓扑磁化率结果,并得到了有限温度下的拓扑磁化率,与晶格QCD结果定性一致。
The temperature and quark mass dependence of the topological susceptibility is analyzed in a random matrix model. A model combining random matrices and the lowest Matsubara frequency is known to describe the chiral phase transition of QCD qualitatively, but at finite temperature it suppresses the topological susceptibility in the thermodynamic limit by the inverse of the volume. We propose a modified model in which the topological susceptibility at finite temperature behaves reasonably. The modified model reproduces the chiral condensate and the zero-temperature result for the topological susceptibility of the conventional model, and it leads to a topological susceptibility at finite temperature in qualitative agreement with lattice QCD results.
狄拉克算子的谱
DOI: --
发表时间: 2007
期刊:
影响因子: --
作者:
Qing-Ming;Cheng;Yasuhiko Kamiyama;Qing-Ming Cheng;Yasuhiko Kamiyama;成 慶明;Yasuhiko Kamiyama;河合 茂生;Yasuhiko Kamiyama;河合 茂生;S. Kawai
通讯作者: S. Kawai