论文标题
$ λϕ^{4} $理论的一个通用额外维度的一环订单效应
One-loop order effects from one universal extra dimension on $λϕ^{4}$ theory
论文作者
论文摘要
$ λϕ^{4} $标量场理论是量子场理论中的战马。在这里，我们探索了一个通用额外维度的单循环订单影响，$ s^{1}/\ mathbb {z} _ {2} $到自我能源和与该理论相关的四点顶点函数。这种效应是无限数量的紫外线差异，对应于环绕环周围激发的KK颗粒的无限叠加。我们表明，尺寸正则化足够足够，足以控制它们，以一维无孔的爱泼斯坦Zeta功能的乘积来控制它们。从这些函数的分析特性中，提取了紫外线差异，并定义了反对。后者在拉格朗日层面是规范的四个。我们使用MS-Scheme和质量依赖性减法方案来消除分歧。只有后者明显满足了脱钩定理。
The self-interacting $λϕ^{4}$ scalar field theory is a warhorse in quantum field theory. Here we explore the one-loop order impact from one universal extra dimension, $S^{1}/\mathbb{Z}_{2}$, to the self-energy and four point vertex functions associated to this theory. Such effects come as an infinite number of UV divergences corresponding to an infinite superposition of excited KK particles around the loop. We show that dimensional regularisation is adequate enough to control them in terms of the product of the one dimensional inhomogenous Epstein zeta function times the gamma function. From the analytical properties of these functions, the UV divergences are extracted and the counterterms defined; the latter turn out to be of canonical dimension four at the Lagrangian level. We use both, the MS-scheme and a mass-dependent subtraction scheme to remove divergences. Only the latter manifestly satisfy the decoupling theorem.
