论文标题
量子全能场
Quantum Holonomy Fields
论文作者
论文摘要
我们研究了欧几里得平面上的晶格和连续的量子量规理论，其结构组被$ h $ - 代数代替；组的非共同类似物，并包含语音的双重组类别。我们对随机量规场的非交通类似物感兴趣，我们通过它们诱导的随机载体描述。我们建议对$ h $代数的量子载体hield的一般定义，并从$ h $ - 代数上的量子lévy过程开始构建此类字段。作为应用程序，我们定义了所谓的主场的高维概括。
We investigate lattice and continuous quantum gauge theories on the Euclidean plane with a structure group that is replaced by a $H$-algebra; non-commutative analogues of groups and contain the class of Voiculescu's dual groups. We are interested in non-commutative analogues of random gauge fields, which we describe through the random Holonomy that they induce. We propose a general definition of a Quantum Holonomy Hield over a $H$-algebra and construct such fields starting from a quantum Lévy process on a $H$-algebra. As an application, we define higher-dimensional generalizations of the so-called master field.
