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Register a new userOn the ultraviolet finiteness of parity-preserving $U(1) times U(1)$ massive QED$_3$
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Added by
Oswaldo Monteiro Del Cima
Publication date
2019
fields
Physics
and research's language is
English
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The parity-preserving $U_A(1)times U_a(1)$ massive QED$_3$ is ultraviolet finiteness -- exhibits vanishing $beta$-functions, associated to the gauge coupling constants (electric and pseudochiral charges) and the Chern-Simons mass parameter, and all the anomalous dimensions of the fields -- as well as is parity and gauge anomaly free at all orders in perturbation theory. The proof is independent of any regularization scheme and it is based on the quantum action principle in combination with general theorems of perturbative quantum field theory by adopting the Becchi-Rouet-Stora (BRS) algebraic renormalization method in the framework of Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) subtraction scheme.
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