Lagrangian formulation for electric charge in a magnetic monopole distribution

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American Physical Society

We give a Lagrangian description of an electric charge in a field sourced by a continuous magnetic monopole distribution. The description is made possible thanks to a doubling of the configuration space. The Legendre transform of the nonrelativistic Lagrangian agrees with the Hamiltonian description given recently by Kupriyanov and Szabo [Phys. Rev. D 98, 045005 (2018)]. The covariant relativistic version of the Lagrangian is shown to introduce a new gauge symmetry, in addition to standard reparametrizations. The generalization of the system to open strings coupled to a magnetic monopole distribution is also given, as is the generalization to particles in a non-Abelian gauge field which does not satisfy Bianchi identities in some region of the space-time.

OPERATORIAL QUANTIZATION, SYSTEMS, Astronomy & Astrophysics, Physics, Particles & Fields, Physics
Marmo, G., Scardapane, E., Stern, A., Ventriglia, F., & Vitale, P. (2019). Lagrangian formulation for electric charge in a magnetic monopole distribution. In Physical Review D (Vol. 100, Issue 8). American Physical Society (APS).