Is the higgs field in space around us?
I understand it as that the higgs field has a constant value on every space time point, is that right?
And this value is the vacuum expectation value. This value is responsible for giving mass to the elementary particles, like the fermions, right?
In the Lagrangian for e fermion there is a term $g \phi_0 \bar \psi \psi$.
$g$ is the Yukawa coupling constant and $\phi_0$ is the vacuum expectation value, right?