Symmetry can be broken spontaneously (see the first sentence in the paper, https://arxiv.org/abs/1602.01485 https://arxiv.org/abs/1602.01485), if the symmetric

Symmetry can be broken spontaneously (see the first sentence in the paper, https://arxiv.org/abs/1602.01485 https://arxiv.org/abs/1602.01485), if the symmetric state is not a global energy minimum. (E.g. a needle standing on its tip on a table is in a state with rotational symmetry --- however, after it has fallen on its side on the table, the symmetry is broken.) The explanation in wikipedia seems be OK: https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking