Gauge Field Theory in the Infrared Regime

Details Gauge Field Theory in the Infrared Regime Gauge Field Theory in the Infrared Regime

2005-09-30

arxiv.org/abs/hep-th/0510002v1

Phys.Rev.D72:107702,2005

Physics

High Energy Physics

High Energy Physics - Theory

4pp, ReVteX

Scientific paper

10.1103/PhysRevD.72.107702

We propose that the low energy behavior of a pure gauge theory can be studied by simply assuming violation of Lorentz invariance which is implemented through a deformation of the canonical Poisson brackets of the theory depending on an infrared scale. The resulting theory is equivalent to a pure gauge theory with a Chern-Simons like term. It is shown that at low energies this theory can be identified with three dimensional QCD where the mass of the fermion is related to the infrared scale.

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