We investigate 1-loop contributions to the 2- and 4-point correlation functions within a theory for fermions with mass dimension one with a simple quartic self-interaction term. The 1-loop divergence appearing the self-energy function can be consistently absorbed by renormalization of the mass parameter. In the case of the (1PI) 4-point correlation function, there is a surprising cancellation of divergences coming from different diagrams, leading to a finite 1-loop result. The inclusion of a complete basis of four-fermion interactions is discussed.

中文翻译：

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1圈质量维数

我们研究质量理论为一个具有简单四次自相互作用项的费米子理论中对2点和4点相关函数的1环贡献。出现自能函数的1环发散度可以通过质量参数的重新归一化来一致地吸收。在（1PI）4点相关函数的情况下，令人惊讶地消除了来自不同图表的散度，从而导致有限的1循环结果。讨论了包含四个费米子相互作用的完整基础。