Vanishing magnetic mass in QED${}_3$ with a Chern-Simons term

Abstract

We show that, at one loop, the magnetic mass vanishes at finite temperature in QED in any dimension. In QED${}_3$, even the zero temperature part can be regularized to zero. We calculate the two loop contributions to the magnetic mass in QED${}_3$ with a Chern-Simons term and show that it vanishes. We give a simple proof which shows that the magnetic mass vanishes to all orders at finite temperature in this theory. This proof also holds for QED in any dimension.

revtex, 7 pages, 5 figures

References in corpus (3)

• Parity-violating electromagnetic interactions in QED_3 at finite temperature
• Two-loop corrections to the topological mass term in thermal QED_3
• Screening Length in 2+1-dimensional Abelian Chern-Simons Theories

Cited by in corpus (2)

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• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons