Abstract
The exact axial vector current in two-dimensional electrodynamics with nonvanishing fermion mass is constructed using methods of Wilson and Brandt. It is shown that\(j_\mu ^{5un} \left( x \right) = \partial _\mu \phi \left( x \right),\) wherejμ5un(x) is the exact unrenormalized axial vector current and ϕ(x) is a pseudoscalar canonical field. The problem of constructing the correct Lagrangian for this model is also solved.
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