Gauge-Yukawa theories: Beta functions at large $N_f$

Understand

We consider the dynamics of gauge-Yukawa theories in the presence of a large number of matter constituents.

• We first review the current status for the renormalization group equations of gauge-fermion theories featuring also semi-simple groups.
• In this regime these theories develop an interacting ultraviolet fixed point that for the semi-simple case leads to a rich phase diagram.
• The latter contains a complete asymptotically safe fixed point repulsive in all couplings.