2005/09/30 by Ashok Das, J. Gamboa, Justo López-Sarrión +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gauge (firearms) #Gauge theory #Infrared #Introduction to gauge theory #Materials science #Mathematics #Noncommutative and Quantum Gravity Theories #Optics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1103/physrevd.72.107702
published as Phys.Rev.D72:107702,2005 · 4pp, ReVteX
arxiv created 2005/09/30 · openalex publication_date 2005/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.