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Symmetries and couplings of non-relativistic electrodynamics
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark..
Univ Libre Bruxelles, Phys Theor & Math & Int Solvay Inst, CP 231, B-1050 Brussels, Belgium..
Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark..
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 11, article id 037Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2016. no 11, article id 037
Keywords [en]
Gauge Symmetry, Global Symmetries, Space-Time Symmetries, Effective field theories
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-310758DOI: 10.1007/JHEP11(2016)037ISI: 000387665600001OAI: oai:DiVA.org:uu-310758DiVA, id: diva2:1058023
Funder
EU, European Research Council, 639220Danish National Research FoundationAvailable from: 2016-12-20 Created: 2016-12-19 Last updated: 2017-11-29Bibliographically approved

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