Vanishing magnetic mass in QED$_{3}$ with a Chern-Simons term

Details Vanishing magnetic mass in QED$_{3}$ with a Chern-Simons term Vanishing magnetic mass in QED$_{3}$ with a Chern-Simons term

2002-04-30

arxiv.org/abs/hep-th/0204259v1

Phys.Rev.D66:025011,2002

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 7 pages, 5 figures

Scientific paper

10.1103/PhysRevD.66.025011

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.

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