On Bosonization Ambiguities of Two Dimensional Quamtum Electrodynamics

We study bosonization ambiguities in two dimensional quantum eletrodynamics in the presence and in the absence of topologically charged gauge fields. The computation of fermionic correlation functions gives us a mechanism to fix the ambiguities in nontrivial topologies, provided that we do not allow changes of sector as we evaluate functional integrals. This removes an infinite arbitrariness from the theory. In the case of trivial topologies, we find upper and lower bounds for the Jackiw-Rajaraman parameter, corresponding to the limiting cases of regularizations which preserve gauge or chiral symetry. ∗e-mail: [email protected] and [email protected] 1