论文标题

检测在截短的海森堡代数上的相变的缩放

Detecting scaling in phase transitions on the truncated Heisenberg algebra

论文作者

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Ranković, Dragana

论文摘要

我们构建和分析了一个自相互作用矩阵场的相图,该矩阵场与非交通截断的海森伯格空间的曲率结合在一起。该模型以无限基质尺寸极限减少到可重新分析的Grosse-Wulkenhaar模型,并表现出纯粹的不均匀有序相。特别注意模型参数的缩放。我们还为有序相变的疾病提供了无限的矩阵尺寸限制。

We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model's parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.

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