论文标题
标准模型及以后的立方矩阵动作
A Cubic Matrix Action for the Standard Model and Beyond
论文作者
论文摘要
我们为矩阵理论提出了一个新的框架，该框架等同于在圆环时空上的野外理论。该对应关系是通过无限的toeplitz矩阵来完成的，该矩阵的条目与能量弹药晶格上的场自由度匹配，从而用矩阵指数代替了背景几何形状。然后可以将这些矩阵理论嵌入单个矩阵的纯立方作用中，并将其合并到一个共同的普遍性类别中。我们在此框架中重建标准模型操作，并在同一类中讨论其扩展。
We propose a new framework for matrix theories that are equivalent to field theories on a toroidal spacetime. The correspondence is accomplished via infinite Toeplitz matrices whose entries match the field degrees of freedom on an energy-momentum lattice, thereby replacing the background geometry with matrix indices. These matrix theories can then be embedded into the purely cubic action of a single matrix and combined into a common universality class. We reconstruct the Standard Model action in this framework and discuss its extensions within the same class.
