论文标题
标量字段理论，RG流和尺寸解开中的缺陷
Defects in scalar field theories, RG flows and Dimensional Disentangling
论文作者
论文摘要
我们考虑在尺寸中的标量字段理论中的缺陷操作员$ d = 4-ε$和$ d = 6-ε$，并带有一般边际电位给出的自我互动。在双缩放限制的情况下，散装耦合为零并且缺陷耦合到Infinity，批量理论变为经典，量子缺陷理论可以通过扰动理论中的顺序解决。我们将缺陷$β$函数计算到两个循环中，并研究重新归一化组流。缺陷固定点可以移动并合并，从而导致固定点歼灭；它们表现出显着的分解属性，其中$ε$依赖性与耦合依赖性相关。
We consider defect operators in scalar field theories in dimensions $d=4-ε$ and $d=6-ε$ with self-interactions given by a general marginal potential. In a double scaling limit, where the bulk couplings go to zero and the defect couplings go to infinity, the bulk theory becomes classical and the quantum defect theory can be solved order by order in perturbation theory. We compute the defect $β$ functions to two loops and study the Renormalization Group flows. The defect fixed points can move and merge, leading to fixed point annihilation; and they exhibit a remarkable factorization property where the $ε$-dependence gets disentangled from the coupling dependence.
