论文标题
模糊的字段理论和相关矩阵模型
Fuzzy field theories and related matrix models
论文作者
论文摘要
我们回顾了Hermitian随机矩阵模型在模糊空间上的标量字段理论的描述。在提醒读者了解随机矩阵理论的相关方面和模糊空间的构建后，我们总结了此类空间上标量场的最重要结果。然后，我们介绍了与模糊空间的标量场理论的分析描述相关的多条矩阵模型，并显示它们在何种程度上以及它们不做的程度，描述$ ϕ^4 $理论在模糊球体上的知识相结构。
We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important results for the scalar fields on such spaces. We then introduce the multi-trace matrix models relevant for the analytical description of scalar field theories on fuzzy spaces and show to what extent they do, and to what extent they do not, describe the know phase structure of $ϕ^4$ theory on the fuzzy sphere.
