二维扭曲约化主手征模型的再认识
The two-dimensional twisted reduced principal chiral model revisited
摘要：
受我们以前对非最小扭曲的TwistedEguchi-Kawai模型的研究的启发，我们重新研究了二维主手征模型的简化版本的行为。我们表明，这个单一的矩阵模型再现了相同的功能，作为标准的晶格模型。特别是，缩放到连续极限，正确的值的内能，磁化率和质量间隙。鉴于我们的能力，以达到更大的值的$N$，我们使用简化模型来研究其大$N$相变存在于中间耦合的性质和属性。我们的结论是，过渡是一阶的
英文摘要：
Motivated by our previous study of the Twisted Eguchi-Kawai model for non minimal twists, we re-examined the behaviour of the reduced version of the two dimensional principal chiral model. We show that this single matrix model reproduces the same features as the standard lattice model. In particular, scaling towards the continuum limit, the correct value of the internal energy, the magnetic susceptibility and the mass gap. Given our capacity to reach larger values of $N$, we use the reduced model to study the nature and properties of its large $N$ phase transition existing at intermediate coupling. We conclude that the transition is of first order
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