# No parity anomaly in massless QED3: A BPHZL approach

@article{Cima2009NoPA,
title={No parity anomaly in massless QED3: A BPHZL approach},
author={Oswaldo M. Del Cima and Daniel H. T. Franco and Olivier Piguet and Manfred Schweda},
journal={Physics Letters B},
year={2009},
volume={680},
pages={108-110}
}
• Published 11 August 2009
• Physics
• Physics Letters B
7 Citations
• Physics
International Journal of Theoretical Physics
• 2021
Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even U(1) × U(1) planar quantum electrodynamics (QED3) model. The presence of two massless fermions
Field theories provide the relevant modern framework to account for the quantum physics of the smallest constituents of matter and their interactions, save for the gravitational interaction. While
• Physics
• 2014
Quantum electrodynamics in three spacetime dimensions, with one massless fermion species in a two-spinor representation, is studied using a non-perturbative variational approach. Quantization of the
• Physics
The European Physical Journal B
• 2020
The parity-preserving $U(1)\times U(1)$ massless QED$_3$ is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses and

## References

SHOWING 1-10 OF 34 REFERENCES

• Physics
• 1975
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov
The effective gauge field action due to fermions coupled to $\mathrm{SU}(N)$ gauge fields in three dimensions is found to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$ under a
The effective gauge field action due to an odd number of fermion species in three-dimensional $\mathrm{SU}(N)$ gauge theories is shown to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$
• Physics
• 1981
Perturbative expansions in models which possess super-renormalizable interactions of massless fields are beset by severe infrared divergences. We show that the complete theory is well defined and has
• Physics
• 1994
One of the interesting features about field theories in odd dimensions is the induction of parity-violating terms and well-defined finite topological actions via quantum loops if a fermion mass term
The purpose of this review article is to explain and illustrate in detail the technique of dimensional regularization, which is a major mathematical tool in the renormalization program of gauge