Unphysical topological charge of nonabelian gauge theory

We show that the topological charge of nonabelian gauge theory is not observable, which leads to the resolution of the Strong CP problem [1]. We then inspect the phenomenological consequences to particle physics. The most notable implication is the prohibition of the 't Hooft vertex and the sphaleron induced baryogenesis [2].

[1] N. Yamanaka, arXiv:2212.10994 [hep-th].

[2] N. Yamanaka, arXiv:2212.11820 [hep-ph].