On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics

Abstract

We study magnetic monopoles in a Lorentz- and CPT-odd electrodynamical framework in (3+1) dimensions. This is the standard Maxwell model extended by means of a Chern-Simons-like term, $b_{\mu }{\tilde{F}}^{\mu \nu }{A}_{\nu }$ ($b_{\mu }$ constant), which respects gauge invariance but violates both Lorentz and CPT symmetries (as a consequence, duality is also lost). Our main interest concerns the analysis of the model in the presence of Dirac monopoles, so that the Bianchi identity no longer holds, which naively yields the non-conservation of electric charge. Since gauge symmetry is respected, the issue of charge conservation is more involved. Actually, the inconsistency may be circumvented, if we assume that the appearance of a monopole induces an extra electric current. The reduction of the model to (2+1) dimensions in the presence of both the magnetic sources and Lorentz-violating terms is presented. There, a quantization condition involving the scalar remnant of $b_{\mu }$, say, the mass parameter, is obtained. We also point out that the breaking of duality may be associated with an asymmetry between electric and magnetic sources in this background, so that the electromagnetic force experienced by a magnetic pole is supplemented by an extra term proportional to $b_{\mu }$, whenever compared to the one acting on an electric charge.

10 pages, no figures, typed in tex

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• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Emission and absorption of photons and the black-body spectra in Lorentz-odd Electrodynamics
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Testing CPT- and Lorentz-odd electrodynamics with waveguides
• Lorentz-violating quantum electrodynamics in two-dimensional aether-superspace
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Magnetic Monopoles and Dark Matter
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Revisiting the missing He-McKellar-Wilkens geometric quantum phase
• Influence of Lorentz-violating terms on a two-level system
• Magnetic monopoles in Lorentz-violating electrodynamics