2016/10/27 by Ali Seraj · 1 citation
Engineering · Physics and Astronomy · #Charge (physics) #Charge conservation #Electric charge #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Electromagnetic field #Electromagnetic radiation #Gauge theory #Magnetic monopole #Magnetic radiation reaction force #Multipole expansion #Quantum and Classical Electrodynamics #Transition radiation #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep06(2017)080
21 pages, 2 figures; v2: section 4.2 added, minor corrections
openalex created_date 2016/10/21 · arxiv created 2016/10/27 · openalex publication_date 2017/06/01 · arxiv updated 2017/08/02 · openalex updated_date 2026/08/05
It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric mul-tipole moments. The symmetries are residual gauge transformations surviving the Lorenz gauge, with nontrivial conserved charge at spatial infinity. These “Multipole charges” receive contributions both from the charged matter and electromagnetic fields. The former is nothing but the electric multipole moment of the source. In a stationary configuration, there is a novel equipartition relation between the two contributions. The multipole charge, while conserved, can freely interpolate between the source and the electromagnetic field, and therefore can be propagated with the radiation. Using the multipole charge conservation, we obtain infinite number of constraints over the radiation produced by the dynamics of charged matter.