Absence of $\mathrm{O}(2)$ symmetry in the Vicsek model

Yushin Takahashi, Kota Mitsui, Tsuyoshi Mizohata +1

The phase transition in the Vicsek model is widely believed to be associated with spontaneous symmetry breaking of the two-dimensional rotational symmetry $\mathrm{O}(2)$. In this…