Gauge dependence of the infrared behaviour of massless QED_3

Abstract

Using the Zumino identities it is shown that in a class of non-local gauges, massless QED_3 has an infrared behaviour of a conformal field theory with a continuously varying anomalous dimension of the fermion. In the usual Lorentz gauge, the fermion propagator falls off exponentially for a large separation, but this apparent fermion mass is a gauge artifact.

arXiv comment10 pages; changes made mainly to clarify the result in the usual Lorentz gauge; to appear in Phys. Lett. B

References in corpus (7)

• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
• Inverse Landau-Khalatnikov Transformation and Infrared Critical Exponents of (2+1)-dimensional Quantum Electrodynamics
• Dynamical Fermion Masses and Constraints of Gauge Invariance in Quenched QED3
• Non-linear Dynamics in QED_3 and Non-trivial Infrared Structure
• Infrared behaviour of massless QED in space-time dimensions 2 < d < 4
• Gauge-invariant dressed fermion propagator in massless QED_3

Cited by in corpus (6)

• On conformal invariant integrals involving spin one-half and spin-one particles
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Gauge-invariant dressed fermion propagator in massless QED_3
• Three-point Green function of massless QED in position space to lowest order
• External leg amputation in conformal invariant three-point function
• Instability in scalar channel of fermion-antifermion scattering amplitude in massless QED_3 and anomalous dimensions of composite operators