doi:10.1103/PhysRevD.71.067702engGamboa, J.Lopez-Sarrion, J.U(1) noncommutative gauge fields and magnetogenesisART-2005-142383The connection between the Lorentz invariance violation in the Lagrangian context and the quantum theory of noncommutative fields is established for the ⁡(1) gauge field. The modified Maxwell equations coincide with other derivations obtained using different procedures. These modified equations are interpreted as describing macroscopic ones in a polarized and magnetized medium. A tiny magnetic field (seed) emerges as particular static solution that gradually increases once the modified Maxwell equations are solved as a self-consistent equations system.2005http://zaguan.unizar.es/record/15020310.1103/PhysRevD.71.067702http://zaguan.unizar.es/record/150203oai:zaguan.unizar.es:150203PHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY 71 (2005), 67702 [4 pp.]All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess