Algebraic Renormalization of Parity-Preserving QED₃ Coupled to Scalar Matter I: Unbroken Case

In this letter the algebraic renormalization method, which is independent of any kind of regularization scheme, is presented for the parity-preserving QED_3 coupled to scalar matter in the symmetric regime, where the scalar assumes vanishing vacuum expectation value, $<\phi>=0$. The model shows to be stable under radiative corrections and anomaly free.