论文标题

大型$ n_f $用于多个表示

Large $N_f$ for multiple representations

论文作者

Cacciapaglia, Giacomo, Vatani, Shahram

论文摘要

我们提出了大型$ n_f $形式主义的扩展,该扩展允许研究具有多个费米昂表示的案例。 β函数中的极点结构可追溯到仪表群的固有非亚伯式性质,并独立于费米亚表示。该结果验证了具有较大费米子多重性的非亚伯仪理论的互动UV固定点的猜想。最后,我们将结果应用于手性仪表理论并扩展大统一理论。

We present an extension of the large $N_f$ formalism that allows to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently on the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories and to extended Grand Unified Theories.

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