$U(1)\otimes BRST$ symmetry, of on-shell T-matrix elements and (1-$\varphi$-I) Green's functions, determines the vacuum state of the Abelian Higgs Model from symmetry alone: minimization of the scalar-sector effective potential is unnecessary

Özenç Güngör, Bryan W. Lynn, Glenn D. Starkman

The weak-scale $U(1{)}_Y$ Abelian Higgs Model (AHM) is the spontaneous-symmetry-breaking gauge theory of a complex scalar $\varphi =\frac{1}{\sqrt{2}}(H+i\pi )$ and a vector $A_{\mu }$. Globa…