论文标题
全环的通用方法导致$λ$ - 模型
A generalized method for all-loop results in $λ$-models
论文作者
论文摘要
在单个电流操作员的异常尺寸和双重变形的不对称$λ$ - 具有通用变形矩阵的情况下。我们的方法使用耦合空间的潜在几何形状以及辅助组的相互作用,该相互作用完全将非对称模型与特定极限分解,这与重量化组流量一致。我们的结果对变形参数中的所有订单都有效,并领先于基础当前代数的水平。我们将一般结果专注于文献中已经构建的几种特殊兴趣模型,并且这些异常的维度尚不清楚。
We compute the anomalous dimension of the single current operator in the case of single and doubly deformed asymmetric $λ$-models with a general deformation matrix. Our method uses the underlying geometry of the coupling space, as well as an auxiliary group interaction, which completely decouples from the asymmetric model in a specific limit, consistent with the Renormalization Group flow. Our results are valid to all orders in the deformation parameters and leading order to the levels of the underlying current algebras. We specialize our general result to several models of particular interest that have been constructed in the literature and for which these anomalous dimensions were not known.