(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 $\vec{\varphi }$ and a quartic $\lambda (\vec{\varphi }\cdot \vec{\varphi }{)}^2$ potential when $N=4$. The ph…