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2016

Symmetries and Couplings of Non-Relativistic Electrodynamics

Festuccia, Guido, Hansen, Dennis, Hartong, Jelle et al.

Understand

We examine three versions of non-relativistic electrodynamics, known as the electric and magnetic limit theories of Maxwell's equations and Galilean electrodynamics (GED) which is the off-shell non-relativistic limit of Maxwell plus a free scalar field.

For each of these three cases we study the couplings to non-relativistic dynamical charged matter (point particles and charged complex scalars).
The GED theory contains besides the electric and magnetic potentials a so-called mass potential making the mass parameter a local function.
The electric and magnetic limit theories can be coupled to twistless torsional Newton-Cartan geometry while GED can be coupled to an arbitrary torsional Newton-Cartan background.