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In explicit symmetry breaking, the equations of motion of a physical system are variant under the broken symmetry; by contrast, for spontaneous symmetry breaking (SSB), these equations are invariant, but the entire system is not because its vacuum (background) is non-invariant. Further use for the SSB characteristic nonlinear realizations (Goldstone mode), and the group theoretical patterns involved.
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Spontaneous symmetry breaking in the Standard Model. What is "broken"?
I know this question has been asked other times, but I am looking for a confirmation of the following.
When we say that the gauge group of the standard model is $G_{SM} = SU(3)_{c} \times SU(2)_{L} \ …