Symmetries and couplings of non-relativistic electrodynamics View Full Text


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Article Info

DATE

2016-11

AUTHORS

Guido Festuccia, Dennis Hansen, Jelle Hartong, Niels A. Obers

ABSTRACT

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. The global symmetries of the electric and magnetic limit theories on flat space consist in any dimension of the infinite dimensional Galilean conformal algebra and a U(1) current algebra. For the on-shell GED theory this symmetry is reduced but still infinite dimensional, while off-shell only the Galilei algebra plus two dilatations remain. Hence one can scale time and space independently, allowing Lifshitz scale symmetries for any value of the critical exponent z. More... »

PAGES

37

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URI

http://scigraph.springernature.com/pub.10.1007/jhep11(2016)037

DOI

http://dx.doi.org/10.1007/jhep11(2016)037

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https://app.dimensions.ai/details/publication/pub.1025415597


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