Gauge Invariance and Finite Temperature Effective Actions of Chern-Simons Gauge Theories with Fermions

Details Gauge Invariance and Finite Temperature Effective Actions of Chern-Simons Gauge Theories with Fermions Gauge Invariance and Finite Temperature Effective Actions of Chern-Simons Gauge Theories with Fermions

1995-07-25

arxiv.org/abs/hep-th/9507136v1

Phys.Lett. B383 (1996) 434-438

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, multicol

Scientific paper

10.1016/0370-2693(96)00613-2

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction with perturbative results, we show that the coefficient of the Chern-Simons term of the effective actions for the gauge fields at finite temperature can be {\it at most} an integer function of the temperature. This is in a sense a generalized no-renormalization theorem. We also discuss the case of abelian theories and give indications that a similar condition should hold there too. We discuss consequences of our results to the thermodynamics of anyon superfluids and fractional quantum Hall systems.

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