1998/07/22 by Manu Raj Mathur, Manu Mathur, Mathur, Manu
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Superconducting Materials and Applications #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9807167
8 pages, Latex
arxiv created 1998/07/22 · openalex publication_date 1998/07/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently Faddeev and Niemi proposed a low energy effective action for pure SU(2) Yang Mills theory in 4 dimension to describe its long distance physics. The effective action is O(3) σ model with a mass parameter, a dimensionless coupling constant e and a topological term. In this work, choosing a new set of variables, we relate this σ model to a U(1) gauge theory with electric and magnetic charges of charge e and 4 πe-1 respectively. In the new formulation the connection of the mass parameter with the monopole condensate is discussed. This theory after lattice regularisation is the compact U(1) gauge theory coupled to electric charges.