A claim that a parity-even two-gauge-field QED3 is ultraviolet finite and anomaly-free at all orders, proven via algebraic renormalization, with a gap in the argument that the Chern-Simons mass does not renormalize.
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On the ultraviolet finiteness of parity-preserving $U(1) \times U(1)$ massive QED$_3$
A claim that a parity-even two-gauge-field QED3 is ultraviolet finite and anomaly-free at all orders, proven via algebraic renormalization, with a gap in the argument that the Chern-Simons mass does not renormalize.