No parity anomaly in massless QED3: A BPHZL approach |
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| Authors: | OM Del Cima DHT Franco O Piguet M Schweda |
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| Institution: | 1. Universidade Federal Fluminense (UFF), Pólo Universitário de Rio das Ostras (PURO), Departamento de Ciência e Tecnologia, Rua Recife s/n, 28890-000, Rio das Ostras, RJ, Brazil;2. Universidade Federal de Viçosa (UFV), Departamento de Física - Campus Universitário, Avenida Peter Henry Rolfs s/n, 36570-000, Viçosa, MG, Brazil;3. Universidade Federal do Espírito Santo (UFES), CCE, Departamento de Física, Campus Universitário de Goiabeiras, 29060-900, Vitória, ES, Brazil;4. Institut für Theoretische Physik, Technische Universität Wien (TU-Wien), Wiedner Hauptstraße 8-10, A-1040, Vienna, Austria |
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| Abstract: | In this Letter we call into question the perturbatively parity breakdown at 1-loop for the massless QED3 frequently claimed in the literature. As long as perturbative quantum field theory is concerned, whether a parity anomaly owing to radiative corrections exists or not shall be definitely proved by using a renormalization method independent of any regularization scheme. Such a problem has been investigated in the framework of BPHZL renormalization method, by adopting the Lowenstein–Zimmermann subtraction scheme. The 1-loop parity-odd contribution to the vacuum-polarization tensor is explicitly computed in the framework of the BPHZL renormalization method. It is shown that a Chern–Simons term is generated at that order induced through the infrared subtractions — which violate parity. We show then that, what is called “parity anomaly”, is in fact a parity-odd counterterm needed for restauring parity. |
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| Keywords: | 11 10 Gh 11 15 -q 11 15 Bt 11 15 Ex |
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