论文标题
方案转换对Beta功能的影响,并消失了一环术语
Effect of Scheme Transformations on a Beta Function with Vanishing One-Loop Term
论文作者
论文摘要
人们普遍说的是,由于理论在$ \ ell \ ge 3 $循环和较高方案的级别的beta函数中的术语是方案依赖性的,因此可以定义可用于删除这些术语的方案转换,至少在零耦合的附近。我们证明,在Beta函数不是零,而是一环术语消失的情况下,这通常不是可能的。
It is commonly stated that because terms in the beta function of a theory at the level of $\ell \ge 3$ loops and higher are scheme-dependent, it is possible to define scheme transformations that can be used to remove these terms, at least in the vicinity of zero coupling. We prove that this is not, in general, possible in the situation where a beta function is not identically zero but has a vanishing one-loop term.