(In)stability of the Higgs vacuum from the $\text{O}(N)$ model at large $N$

Ryan Weller, Chun-Wei Su

The theory of an independent Higgs field is given by an $\text{O}(N)$ model with an $N$-component scalar $\vec{\ddot{I}}•$ and a quartic $\hat{I}»(\vec{\ddot{I}}•\cdot \vec{\ddot{I}}•{)}^2$ potential when $N=4$. Th…