Hamiltonian nature of monopole dynamics

Publication date: Available online 31 October 2019Source: Physics Letters AAuthor(s): J.M. Heninger, P.J. MorrisonAbstractClassical electromagnetism with magnetic monopoles is not a Hamiltonian field theory because the Jacobi identity for the Poisson bracket fails. The Jacobi identity is recovered only if all of the species have the same ratio of electric to magnetic charge or if an electron and a monopole can never collide. Without the Jacobi identity, there are no local canonical coordinates or Lagrangian action principle. To build a quantum field of magnetic monopoles, we either must explain why the positions of electrons and monopoles can never coincide or we must resort to new quantization techniques.

Source: Physics Letters A - November 1, 2019 Category: Physics Source Type: research