(1+1)-dimensional axial anomaly, Berry's phase and induced charge, statistics, and Wess-Zumino term

We consider (1+1)-dimensional fermions interacting with gauge fields and a soliton field, through a chirally twisted mass term. This is a (1+1)-dimensional analog of Skyrmions interacting with fundamental fermions. We compute the Berry phase of the fermionic ground state for translations of the soliton, which is related to an induced Wess-Zumino term in the effective action. We also elucidate aspects of the axial anomaly and prove a nonexistence theorem for the fractionization of fermion number.