论文标题
缺乏灯芯订购的操作员产品的近乎义规范
Absence of submultiplicative norms for Wick-ordered Operator Products
论文作者
论文摘要
在本文中，确定了重新归一化组的严格表述作为连续流的一个关键问题。召回了操作者理论重新归一化组的一些基本特征，并引入了与不同的汉密尔顿人巴拉克空间相关的规范家族。由此，得出了三种不同的属性，应通过适当的规范来满足，例如，关于灯芯的近端授权性。证明本文中介绍的所有规范都不满足所有这些条件。
In this paper, a key problem of the rigorous formulation of the renormalization group as a continuous flow is identified. Some essential features of the operator-theoretic renormalization group are recalled, and a family of norms associated to different Banach spaces of Hamiltonians is introduced. From this, three different properties, which should be satisfied by an adequate norm, are derived, e.g., a submultiplicativity with respect to Wick-ordering. A proof is given that none of the norms introduced in this paper satisfy all of these conditions.
