Field sources in a Lorentz-symmetry breaking scenario with a single background vector

Borges, L. H. C.; Barone, F. A.; Helayël-Neto, J. A.

doi:10.1140/epjc/s10052-014-2937-9

Cited by 33 publications

(68 citation statements)

References 37 publications

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“…Our analysis parallels that of reference [46], which considered a minimal LV term from the non birefringent sector of the SME. As in that paper, we will find essential modifications due to the LV, with some effects that have no counterparts in the standard Maxwell theory.…”

Section: Introductionmentioning

confidence: 86%

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New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

Borges¹,

Ferrari²,

Barone³

2016

Eur. Phys. J. C

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This paper is dedicated to the study of interactions between external sources for the electromagnetic field in the presence of Lorentz symmetry breaking. We focus on a higher derivative, Lorentz violating interaction that arises from a specific model that was argued to lead to interesting effects in the low energy phenomenology of light pseudoscalars interacting with photons. The kind of higher derivative Lorentz violating interaction we discuss are called nonminimal. They are usually expected to be relevant only at very high energies, but we argue they might also induce relevant effects in low energy phenomena. Indeed, we show that the Lorentz violating background considered by us leads to several phenomena that have no counterpart in Maxwell theory, such as nontrivial torques on isolated electric dipoles, as well as nontrivial forces and torques between line currents and point like charges, as well as among Dirac strings and other electromagnetic sources.

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Section: Introductionmentioning

confidence: 86%

“…This interaction does not occur in Maxwell electrodynamics, but it may emerge in theories with Lorentz violation [46], as well as in LI theories with higher order derivatives [50].…”

Section: A Steady Current Line and A Point-like Chargementioning

confidence: 98%

New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

Borges¹,

Ferrari²,

Barone³

2016

Eur. Phys. J. C

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“…Possible effects of Lorentz symmetry violation have been investigated in many contexts, for example, the Casimir effect [8][9][10][11], QED [12][13][14][15][16], hydrogen atom [17,18], noncommutative field theories [19][20][21], space-times with a non-trivial topology [22], gravity theory [23][24][25][26][27][28], electromagnetic wave propagation [29][30][31][32], studies of photon field quantization [33][34][35], effects on the classical electrodynamics [36][37][38][39][40][41], among others.…”

Section: Introductionmentioning

confidence: 99%

“…We consider the model studied in Refs. [17,36], where the Lorentz symmetry is broken in the CPT-even sector of the SME, due to the presence of a single background vector v μ . We consider different configurations for the background vector.…”

Section: Introductionmentioning

confidence: 99%

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Borges

Barone

2017

Eur. Phys. J. C

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In this paper we consider a model which exhibits explicit Lorentz symmetry breaking due to the presence of a single background vector v μ coupled to the gauge field. We investigate such a theory in the vicinity of a perfectly conducting plate for different configurations of v μ . First we consider no restrictions on the components of the background vector and we treat it perturbatively up to second order. Next, we treat v μ exactly for two special cases: the first one is when it has only components parallel to the plate, and the second one when it has a single component perpendicular to the plate. For all these configurations, the propagator for the gauge field and the interaction force between the plate and a point-like electric charge are computed. Surprisingly, it is shown that the image method is valid in our model and we argue that it is a non-trivial result. We show there arises a torque on the mirror with respect to its positioning in the background field when it interacts with a point-like charge. It is a new effect with no counterpart in theories with Lorentz symmetry in the presence of a perfect mirror.

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“…The Lorentz-violating (LV) terms, generated as vacuum expectation values of tensors defined in a high energy scale, are coupled to the physical fields yielding coordinate invariance and violation of Lorentz symmetry in the particle frames [11]. This theoretical framework has inspired a large number of investigations in the last several years, encompassing fermion systems [12][13][14][15][16][17][18][19][20], CPT-probing experiments [21][22][23][24][25][26][27], the electromagnetic CPT-and Lorentzodd term [28]- [41], the CPT-even and Lorentz-odd gauge sector and its interactions with fermions [42][43][44][45][46][47][48][49][50][51], [52][53][54][55][56][57]. Recent investigations involving higher dimensional operators [58][59][60], its possible connections with LV theories [61][62][63][64][65][66], and nonminimal couplings …”

Section: Introductionmentioning

confidence: 99%

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

et al. 2014

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In this work, we investigate the consequences of the spontaneous breaking of Lorentz symmetry, triggered by the bumblebee vector field, on the usual Einstein-Hilbert theory. Specifically, we consider the Einstein-Hilbert action modified by the bumblebee dynamic field, and evaluate the graviton propagator using an extended basis of Barnes-Rivers tensor projectors, involving the Lorentz-violating vector. Once the propagator is carried out, we proceed with discussing the consistency of the model, writing the dispersion relations, and analyzing causality and unitarity.We verify that this model possesses two dispersion relations: one provides causal and unitary propagating modes, while the second yields a causal but nonunitary mode which spoils the physical consistency of the model.

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Field sources in a Lorentz-symmetry breaking scenario with a single background vector

Cited by 33 publications

References 37 publications

New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

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