论文标题

一个循环整合新费米子

Integrating Out New Fermions at One Loop

论文作者

Angelescu, Andrei, Huang, Peisi

论文摘要

我们介绍了使用功能技术在一个循环下像一个循环的较重的载体一样,通过将重型向量(类似于载体的费物集成)提供了效率的有效作用。即使以前的方法能够通过非手续相互作用来处理繁重的费米子,即消失的$γ^5 $相互作用项,但这些计算以一种乏味的方式进行,从而掩盖了物理解释。我们展示了如何直接解决费米子功能决定因素,不仅允许进行更简单,透明的计算,而且还能够以简单的,算法的方式来考虑手性互动项。最后,我们应用了获得的结果以一个循环集成,以矢量(类似于玩具模型中的媒介)和表现出强大宇宙学相变的费米子模型中出现。

We present the fermionic universal one--loop effective action obtained by integrating out heavy vector--like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions with non--chiral interactions, i.e. vanishing $γ^5$ interaction terms, the computations proceed in a tedious manner that obscures a physical interpretation. We show how directly tackling the fermionic functional determinant not only allows for a much simpler and transparent computation, but is also able to account for chiral interaction terms in a simple, algorithmic way. Finally, we apply the obtained results to integrate out at one loop the vector--like fermions appearing in a toy model and in a fermionic model that exhibits strong cosmological phase transitions.

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