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The parity-preserving massive QED3 exhibits vanishing gauge couplingbeta-function and is parity and infrared anomaly free at all orders inperturbation theory. Parity is not an anomalous symmetry, even for theparity-preserving massive QED3, in spite of some claims about the possibilityof a perturbative parity breakdown, called parity anomaly. The proof is done byusing the algebraic renormalization method, which is independent of anyregularization scheme, based on general theorems of perturbative quantum fieldtheory.

The parity-preserving massive QED3: vanishing beta-function and no parity anomaly