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

Abstract

The parity-preserving massive QED3 exhibits vanishing gauge coupling beta-function and is parity and infrared anomaly free at all orders in perturbation theory. Parity is not an anomalous symmetry, even for the parity-preserving massive QED3, in spite of some claims about the possibility of a perturbative parity breakdown, called parity anomaly. The proof is done by using the algebraic renormalization method, which is independent of any regularization scheme, based on general theorems of perturbative quantum field theory.

In honor of Prof. Raymond Stora (1930-2015), to appear in Phys. Lett. B, 5 pages

References in corpus (2)

• No parity anomaly in massless QED3: a BPHZL approach
• The ultraviolet and infrared perturbative finiteness of massless QED${}_3$

Cited by in corpus (3)

• Deconfinement to Confinement as PT phase transition
• On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics
• On the ultraviolet finiteness of parity-preserving $U(1)\times U(1)$ massive QED${}_3$