arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1802.02657hep-phhep-th
收藏

四费米子Dirac和Majorana Feynman规则

Dirac and Majorana Feynman Rules with four-fermions

Michael Paraskevas

摘要:

讨论了Dirac和Majorana有效算子理论中振幅计算的一种紧致方法。使用Denner等人的可重正化形式主义,文[1,2]对传播子、顶点和费米子(数)流,通过引入新的“读规则”,证明了费米子在图中可以作为标量处理。费米统计的影响只出现在整体的迹象,并确定一次为整个类的图表。这种方法中的每个顶点对应于有效理论的标准处理中的两个或多个顶点。因此,这种方法的优点随着给定图中四个费米子顶点的数量而增加。讨论围绕基于标准模型的有效场论展开,直到四个费米子和微扰理论中的任何阶数。即便如此,该框架也更具有一般性,可以适用于其他地方。

英文摘要:

A compact method for amplitude calculations in theories with Dirac and Majorana effective operators is discussed. Using the renormalizable formalism of Denner et al., [1,2] for propagators, vertices and fermion (number) flow and introducing new "reading-rules", it is shown that fermions can be treated as scalars in the diagrams. The effect of Fermi-statistics appears only in overall signs and is determined once for whole classes of diagrams. Each vertex in this method corresponds to two or more vertices in the standard treatment of effective theories. As such, the advantages of this approach grow together with the number of four-fermion vertices in a given diagram. The discussion develops around effective field theories based on the Standard Model, up to four-fermions and to any order in perturbation theory. Even so, the framework is more general and can be applied elsewhere.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑