G. 't Hooft proposed that Bell-Jackiw anomalies can cause symmetry breaking, leading to baryon and lepton number nonconservation in V-A gauge theories with charm and a non-zero mass squared for the η particle. He analyzed solutions to classical field equations in Euclidean gauge theories, finding non-trivial solutions characterized by a topological quantum number. These solutions, called Euclidean-gauge solitons (EGS), are relevant for tunneling between vacuum states in Minkowski space. When combined with massless fermions, these solitons lead to anomalies in axial vector currents, resulting in a violation of axial charge conservation. The amplitude for such events can be calculated using Euclidean space solutions, leading to an effective interaction that mimics the anomaly. The results show that one EGS leads to a change in axial charge of 2N, where N is the number of fermion flavors. This effect is significant in models like the Weinberg-Salam model, where it can cause baryon and lepton number nonconservation. The calculated effective action includes a term that reproduces the chiral quantum numbers of a mass term for the η particle. However, infrared divergences prevent a direct comparison with the actual η mass. The work also discusses the implications of these findings for color gauge theories and the role of the Cabibbo rotation in quark annihilation. The results suggest that the predicted effects may not be observable unless the Weinberg angle is very small. The study was supported by the National Science Foundation and includes contributions from various physicists.G. 't Hooft proposed that Bell-Jackiw anomalies can cause symmetry breaking, leading to baryon and lepton number nonconservation in V-A gauge theories with charm and a non-zero mass squared for the η particle. He analyzed solutions to classical field equations in Euclidean gauge theories, finding non-trivial solutions characterized by a topological quantum number. These solutions, called Euclidean-gauge solitons (EGS), are relevant for tunneling between vacuum states in Minkowski space. When combined with massless fermions, these solitons lead to anomalies in axial vector currents, resulting in a violation of axial charge conservation. The amplitude for such events can be calculated using Euclidean space solutions, leading to an effective interaction that mimics the anomaly. The results show that one EGS leads to a change in axial charge of 2N, where N is the number of fermion flavors. This effect is significant in models like the Weinberg-Salam model, where it can cause baryon and lepton number nonconservation. The calculated effective action includes a term that reproduces the chiral quantum numbers of a mass term for the η particle. However, infrared divergences prevent a direct comparison with the actual η mass. The work also discusses the implications of these findings for color gauge theories and the role of the Cabibbo rotation in quark annihilation. The results suggest that the predicted effects may not be observable unless the Weinberg angle is very small. The study was supported by the National Science Foundation and includes contributions from various physicists.