The abelian gauge-Yukawa $\beta$-functions at large $N_f$

Abstract

We study the impact of the Yukawa interaction in the large-$N_f$ limit to the abelian gauge theory. We compute the coupled $\beta$-functions for the system in a closed form at $\mathcal{O}(1/N_f)$.

Comments: 13 pages, 6 figures. v3 matches the published version