The chiral phase transition in a random matrix model with molecular correlations
The chiral phase transition in a random matrix model with molecular correlations
复制标题
具有分子相关性的随机矩阵模型中的手性相变
DOI：
10.1016/0370-2693(95)01401-2
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发表时间：
1995
影响因子：
4.4
通讯作者：
H. A. Weidenmüller
中科院分区：
文献类型：
--
作者：
T. Wettig;A. Schäfer;H. A. Weidenmüller
本文在狄拉克算符的随机矩阵元与特定的非随机矩阵元相结合的模型中分析了QCD的手征相变。后者的特殊形式的动机是假设与瞬子和反瞬子组态相关的费米准零模决定了QCD的手征性质。结果表明，这些模式之间的相关程度起着决定性的作用。为了使手征凝聚体的值降低2倍以上，大约95%的瞬子和反瞬子必须形成所谓的分子。这一结论与斯托尼布鲁克群的数值结果一致。
The chiral phase transition of QCD is analyzed in a model combining random matrix elements of the Dirac operator with specially chosen non-random ones. The special form of the latter is motivated by the assumption that the fermionic quasi-zero modes associated with instanton and anti-instanton configurations determine the chiral properties of QCD. Our results show that the degree of correlation between these modes plays the decisive role. To reduce the value of the chiral condensate by more than a factor of 2 about 95 percent of the instantons and anti-instantons must form so-called molecules. This conclusion agrees with numerical results of the Stony Brook group.