Gauge dependence of the infrared behaviour of massless QED_3
Indrajit Mitra, Raghunath Ratabole, H. S. Sharatchandra
TL;DR
This paper demonstrates that the infrared behavior of massless QED_3 varies with gauge choice, showing conformal field theory characteristics in non-local gauges and exponential decay in Lorentz gauge, with the mass being a gauge artifact.
Contribution
It reveals the gauge dependence of infrared behavior in massless QED_3 and clarifies the nature of the fermion propagator across different gauges.
Findings
Infrared behavior is conformal in non-local gauges.
Fermion propagator decays exponentially in Lorentz gauge.
Apparent fermion mass is a gauge artifact.
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Chromodynamics and Particle Interactions