Higgs field

Now I got φ. There is no matter in Gauge theory, but scalar potential is for gravity.

gσρ(x)→W(x)gσρ(x)

Gravity and Electromagnetic Field are integrated.

However, there are space and time between x and x0. This is against Gauge theory because of General theory of relativity.

Then, Higgs field solved this contradiction.

SU(2)×U(1)

This is called spontaneous symmetry breaking.

Gauge symmetry never be broken, and matter is not Zero.