论文标题
在$ ϕ^3 $理论上高于六个维度
On $ϕ^3$ Theory Above Six Dimensions
论文作者
论文摘要
我们研究标量$ ϕ^3 $理论高于六个维度。 beta函数$β（g）=-εg-\ frac {3} {4} g^3 $ in $ d =6-2ε$ dimensions当$ε<0 $时具有UV固定点。像$ O（n）$向量模型高于四个维度一样，实际上观察到的固定点对应于一对由分支切割隔开的复杂CFT。使用数值引导方法和Gliozzi的融合规则截断方法，我们认为$ ϕ^3 $理论的固定点上述六个维度存在。
We study the scalar $ϕ^3$ theory above six dimensions. The beta function $β(g)=-εg-\frac{3}{4}g^3$ in $d=6-2ε$ dimensions has a UV fixed point when $ε<0$. Like the $O(N)$ vector models above four dimensions, such a fixed point observed perturbatively in fact corresponds to a pair of complex CFTs separated by a branch cut. Using both the numerical bootstrap method and Gliozzi's fusion rule truncation method, we argue that the fixed points of the $ϕ^3$ theory above six dimensions exist.
