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 QED3 coupled to scalar matter in the symmetric regime, where the scalar assumes vanishing vacuum expectation value, 〈ϕ〉 = 0. The model shows to be stable under radiative corrections and anomaly free.