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A General Theory of Non-Abelian Electrodynamics
Authors:Peter K Anastasovski  T E Bearden  C Ciubotariu  W T Coffey  L B Crowell  G J Evans  M W Evans  R Flower  S Jeffers  A Labounsky  D Leporini  B Lehnert  M Mészáros  J K Moscicki  P R Molnár  H Múnera  E Recami  D Roscoe  S Roy
Institution:(1) Institute for Advanced Study, Alpha Foundation, Institute of Physics, 11 Rutafa Street, Building H, Budapest, H-1165, Hungary;;(2) Faculty of Technology and Metallurgy, Department of Physics, University of Skopje, Republic of Macedonia;(3) Institute for Information Technology, Stuttgart University, Stuttgart, Germany;(4) Department of Microelectronics and Electrical Engineering, Trinity College, Dublin 2, Ireland;(5) Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico;(6) former Edward Davies Chemical Laboratories, University College of Wales, Aberystwyth, SY32 1NE Wales, Great Britain;;(7) Wolfson College, Oxford, Great Britain;(8) Department of Physics and Astronomy, York University, Toronto, Canada;(9) The Boeing Company, Huntington Beach, California;(10) Dipartimento di Fisica, Universita di Pisa, Piazza Toricelli 2, 56100 Pisa, Italy;(11) Alfven Laboratory, Royal Institute of Technology, Stockholm, S-100 44, Sweden;(12) Smoluchowski Institute of Physics, Jagiellonian University, ul Reymonta, Krakow, Poland;(13) Centro Internacional de Fisica, A. A, 251955 Bogota, DC, Colombia;(14) Faculty of Engineering, Bergamo State University, 24044 Dalmine, Italy;(15) School of Mathematics, Sheffield University, Great Britain;(16) Virginia, and Indian Statistical Institute, George Mason University, Calcutta, India
Abstract:The general theory of gauge fields is used to develop a theory of electrodynamics in which the fundamental structure is non-Abelian and in which the internal gauge field symmetry is O(3), based on the existence of circular polarization and the third Stokes parameter. The theory is used to provide an explanation for the Sagnac effect with platform at rest and in motion. The Sagnac formula is obtained by considering the platform in motion to be a gauge transformation. The topological phases can be described straightforwardly with non Abelian electrodynamics, which produces a novel magnetic field component for all types of radiation, a component which is proportional to the third Stokes parameter. The theory provides a natural explanation for the inverse Faraday effect without phenomenology.
Keywords:Non-Abelian electrodynamics  Stokes parameters  Sagnac effect
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