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arXiv 1001.3640hep-lathep-ph
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三味随机矩阵模型中的手征相变

Chiral phase transition in a random matrix model with three flavors

Hirotsugu Fujii, Munehisa Ohtani, Takashi Sano

摘要:

传统的无规矩阵模型中的手征相变在手征极限下是二阶的,与味数N_f无关,因为它缺少U_A(1)破缺的行列式相互作用项。此外,它预测了一个非物理值为零的拓扑磁化率在有限的温度。我们提出了一个新的手征随机矩阵模型,解决了这些困难,将决定性的相互作用项内的瞬子气体图片。该模型在N_f=2时产生二级跃迁,在N_f=3时产生一级跃迁,并恢复了拓扑磁化率的物理温度依赖性。

英文摘要:

The chiral phase transition in the conventional random matrix model is the second order in the chiral limit, irrespective of the number of flavors N_f, because it lacks the U_A(1)-breaking determinant interaction term. Furthermore, it predicts an unphysical value of zero for the topological susceptibility at finite temperatures. We propose a new chiral random matrix model which resolves these difficulties by incorporating the determinant interaction term within the instanton gas picture. The model produces a second-order transition for N_f=2 and a first-order transition for N_f=3, and recovers a physical temperature dependence of the topological susceptibility.

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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