论文标题
$β$ - 级零gross-neveu模型的功能
$β$-function of the level-zero Gross-Neveu model
论文作者
论文摘要
我们解释说,超对称$ cp^{n-1} $ sigma模型与零水平的手性毛gross-neveu(CGN)模型直接相关。特别是,这两种理论的β函数应重合。这与$ cp^{n-1} $ beta函数的单循环效果以及CGN模型的全环beta函数。我们在CGN侧执行明确的四环计算,并讨论出现的重新归一化方案依赖性。
We explain that the supersymmetric $CP^{n-1}$ sigma model is directly related to the level-zero chiral Gross-Neveu (cGN) model. In particular, beta functions of the two theories should coincide. This is consistent with the one-loop-exactness of the $CP^{n-1}$ beta function and a conjectured all-loop beta function of cGN models. We perform an explicit four-loop calculation on the cGN side and discuss the renormalization scheme dependence that arises.