The β-function for Yukawa theory at large N f

Abstract

Abstract We compute the β-function for a massless Yukawa theory in a closed form at the order O 1 / N f $$ \mathcal{O}\left(1/{N}_f\right) $$ in the spirit of the expansion in a large number of flavours N f . We find an analytic expression with a finite radius of convergence, and the first singularity occurs at the coupling value K = 3.

Keywords

• 1/N Expansion
• Renormalization Group