Can an odd number of fermions be created due to the chiral anomaly

We describe a possible creation of an odd number of fractionally charged fermions in the 1+1 dimensional Abelian Higgs model. We point out that for 1+1 dimensions this process does not violate any symmetries of the theory, nor makes it mathematically inconsistent. We construct the proper definition of the fermionic determinant in this model and outline how to generalize it for calculation of preexponent in realistic mathematically consistent 3+1 dimensional models with the creation of an even number of fermions. © 2006 The American Physical Society.