Abstract
We investigate the possibility of coexistence between Dirac-like monopoles and Lorentz-violating electrodynamics. For this purpose, we study three distinct models: Myers–Pospelov, Ellis et al. and Gambini–Pullin. In particular, we find that in the Myers–Pospelov electrodynamics, magnetic sources may be properly induced when it is accompanied by the appearance of an extra electric current. The symmetry under duality transformations and the Dirac quantization condition in the aforementioned theories is also discussed.
Highlights
There has been a growing interest in searching for small deviations of Lorentz invariance
Kostelecky and collaborators have developed a systematic framework that incorporate all possible Lorentz scalar operators at the lagrangian level that are responsible for Lorentz symmetry violations [11]
The gauge invariance is crucial for the existence of magnetic poles [16, 17]. With this aspect in view, the purpose of the present paper is to understand if Lorentz-violating electrodynamics that are gauge invariant and magnetic monopoles can coexist in the same scenario
Summary
There has been a growing interest in searching for small deviations of Lorentz invariance. Several preliminary computations in quantum gravity models suggest that Lorentz invariance might not be an exact symmetry of nature. Examples where such symmetry breaking may occur include string theory [2], loop quantum gravity [3], non-commutativity of the spacetime [4,5,6], brane world scenarios [7], and so on [8, 9]. The gauge invariance is crucial for the existence of magnetic poles [16, 17] With this aspect in view, the purpose of the present paper is to understand if Lorentz-violating electrodynamics that are gauge invariant and magnetic monopoles can coexist in the same scenario.
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