Phase transitions in a Φ4 matrix model on a curved noncommutative space

IF 1.4 4区 物理与天体物理 Q3 PHYSICS, NUCLEAR International Journal of Modern Physics a Pub Date : 2023-10-13 DOI:10.1142/s0217751x23430029
Dragan Prekrat, Dragana Rankovic, Neli Kristina Todorovic-Vasovic, Samuel Kovacik, Juraj Tekel
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Abstract

In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative background space. We first analyze the numerically obtained phase diagram of the model and its three phases: the ordered, the disordered, and the noncommutative stripe phase. Afterward, we discuss the analytical derivation of the effective action and the ordered-to-stripe transition line, and how the obtained expression successfully explains the curvature-induced shift of the triple point compared to the model without curvature. This shift also causes the removal of the stripe phase and makes the model renormalizable.
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弯曲非交换空间上Φ4矩阵模型的相变
在这篇贡献中,我们总结了我们最近对Grosse-Wulkenhaar模型的相结构及其与重整化能力的联系的研究。它的作用包含一个特殊的项,将场与非交换背景空间的曲率耦合。我们首先分析了该模型的相位图及其三个相位:有序相位、无序相位和非交换条纹相位。然后,我们讨论了有效作用和有序到条纹过渡线的解析推导,以及与没有曲率的模型相比,所得到的表达式如何成功地解释了曲率引起的三点位移。这种移位还会导致条带阶段的移除,并使模型可重新规范化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
International Journal of Modern Physics a
International Journal of Modern Physics a 物理-物理:核物理
CiteScore
3.00
自引率
12.50%
发文量
283
审稿时长
3 months
期刊介绍: Started in 1986, IJMPA has gained international repute as a high-quality scientific journal. It consists of important review articles and original papers covering the latest research developments in Particles and Fields, and selected topics intersecting with Gravitation and Cosmology. The journal also features articles of long-standing value and importance which can be vital to research into new unexplored areas.
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