Generalized 2D BF Model quantized in the axial gauge

Details Generalized 2D BF Model quantized in the axial gauge Generalized 2D BF Model quantized in the axial gauge

1999-04-27

arxiv.org/abs/hep-th/9904185v1

Mod.Phys.Lett. A15 (2000) 483-498

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, Latex

Scientific paper

10.1142/S0217732300000475

We discuss the ultraviolet finiteness of the two-dimensional BF model coupled to topological matter quantized in the axial gauge. This noncovariant gauge fixing avoids the infrared problem in the two-dimensional space-time. The BF model together with the matter coupling is obtained by dimensional reduction of the ordinary three-dimensional BF model. This procedure furnishes the usual linear vector supersymmetry and an additional scalar supersymmetry. The whole symmetry content of the model allows to apply the standard algebraic renormalization procedure which we use to prove that this model is ultraviolet finite and anomaly free to all orders of perturbation theory.

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