论文标题

RG的RG流量$σ$ - 模型和扭曲功能

RG flows of integrable $σ$-models and the twist function

论文作者

Delduc, François, Lacroix, Sylvain, Sfetsos, Konstantinos, Siampos, Konstantinos

论文摘要

在研究主体手性模型和/或WZW模型的组件和/或变形的可集成的非线性$σ$模型中,称为Twist函数的合理函数起着核心作用。对于大量这样的模型,我们表明它们是一环的可重新分析,并且可以以非常简单的方式直接以扭曲函数为单位编写重归如此的流动方程。当集成模型以扭曲函数为特征时,所得方程似乎具有通用特征。

In the study of integrable non-linear $σ$-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central role. For a large class of such models, we show that they are one-loop renormalizable, and that the renormalization group flow equations can be written directly in terms of the twist function in a remarkably simple way. The resulting equation appears to have a universal character when the integrable model is characterized by a twist function.

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