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arXiv · 1806.06954

The $\beta$-function for Yukawa theory at large $N_f$

Tommi Alanne·Simone Blasi
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Abstract

We compute the $\beta$-function for a massless Yukawa theory in a closed form at the order $\mathcal{O}(1/N_f)$ 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 $K=5$.

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Tommi Alanne, Simone Blasi. 2018-06-18. The $\beta$-function for Yukawa theory at large $N_f$. https://doi.org/10.1007/jhep08(2018)081

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