Conformal Phase Diagram of Complete Asymptotically Free Theories

Understand

We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling.

• Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function and one loop scalar beta function.
• We provide the general conditions that the beta function coefficients must abide for the theory to be completely asymptotically free while simultaneously possessing an infrared stable fixed point.
• We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.