The ultraviolet and infrared perturbative finiteness of massless QED${}_3$

Abstract

The massless QED${}_3$ is ultraviolet and infrared perturbatively finite, parity and infrared anomaly free to all orders in perturbation theory.

arXiv comment4 pages, minor changes, to appear in Phys. Rev. D

References in corpus (7)

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• An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3
• On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms
• On the finiteness of a new topological model in D=3
• What's Wrong with Pauli-Villars Regularization in $QE{D}_3$ ?
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Cited by in corpus (9)

• On the exact quantum scale invariance of three-dimensional reduced QED theories
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics
• The quantum scale invariance in graphene-like quantum electrodynamics
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• The parity-preserving massive QED3: vanishing beta-function and no parity anomaly
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• On the ultraviolet finiteness of parity-preserving $U(1)\times U(1)$ massive QED${}_3$
• The BPHZL renormalization of a planar quantum electrodynamics up to 2-loops and beyond