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

Borges, L. H. C.; Ferrari, A. F.; Barone, F. A.

doi:10.1140/epjc/s10052-016-4460-7

Cited by 26 publications

(30 citation statements)

References 56 publications

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“…1 we have a plot for the torque (38) as a function of α, which exhibits three zeros, corresponding to the extreme values for the energy (37). For α = 0, and π , we have a minimum for the energy, so these are points of stable equilibrium.…”

Section: Results In Lowest Ordermentioning

confidence: 99%

“…We can show that the interaction energy between a conducting surface and an external source J ν (x) is given by [36,37,[43][44][45][46][47][48]]…”

Section: Charge-plate Interactionmentioning

confidence: 99%

“…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%

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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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Section: Results In Lowest Ordermentioning

confidence: 99%

“…We can show that the interaction energy between a conducting surface and an external source J ν (x) is given by [36,37,[43][44][45][46][47][48]]…”

Section: Charge-plate Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Borges

Barone

2017

Eur. Phys. J. C

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“…Equation (22) is obtained by dimensional reduction of the source which describes a Dirac string in 3 + 1 dimensions [54][55][56][57][58] lying along the axis (x 1 , x 2 , x 3 ) = (a 1 , x 3 ), parallel to the 3-axis, with internal magnetic flux . So, from now on, we shall call the source (22) as Dirac point.…”

Section: Point-like Sources For the Maxwell-chern-simons Fieldmentioning

confidence: 99%

“…Substituting (61) and (56) in (55), the functional generator of the Maxwell-Chern-Simons theory in the presence of a conducting plate reads…”

Section: The Maxwell-chern-simons Field In the Presence Of A Conductimentioning

confidence: 99%

New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

Borges¹,

Ribeiro²,

Oliveira³

et al. 2020

Eur. Phys. J. C

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We investigate some aspects of the Maxwell-Chern-Simons electrodynamics focusing on physical effects produced by the presence of stationary sources and a perfectly conducting plate (mirror). Specifically, in addition to point charges, we propose two new types of point-like sources called topological source and Dirac point, and we also consider physical effects in various configurations that involve them. We show that the Dirac point is the source of the vortex field configurations. The propagator of the gauge field due to the presence of a conducting plate and the interaction forces between the plate and point-like sources are computed. It is shown that the image method is valid for the point-like charges as well as for Dirac points. For the topological source we show that the image method is not valid and the symmetry of spatial refection on the mirror is broken. In all setups considered, it is shown that the topological source leads to the emergence of torques.PACS numbers: I. INTRODUCTIONPlanar models in Quantum Field Theory have several interesting features, both theoretical and experimental. We can mention, for instance, the change in the fermions behavior in comparison with the standard classical and quantum electrodynamics [1]. One of the most important class of models of this kind is the so called Maxwell-Chern-Simons electrodynamics [2], or Abelian topological massive gauge theory [3], which is relevant because it is simultaneously massive and gauge invariant. Theoretical aspects of Maxwell-Chern-Simons electrodynamics have been investigated in Casimir effect [4][5][6][7][8][9], quantum dissipation of harmonic systems [10], quantum electrodynamics (QED 3 ) [11-15], dynamical mass generation [16,17], condensed matter physics (see, for instance, Ref.[24] and references therein), description of graphene properties [18][19][20][21][22][23], noncommutativity [25-28], strings theory [29], dynamics of vortices [30,31], and with a planar boundary [32][33][34][35][36], to mention just a few. In fact, there is a vast literature concerning this model.There is also a generalization of the Chern-Simos electrodynamics in 3 + 1 dimensions, the so called Carroll-Field-Jackiw model [37], which exhibits Lorentz symmetry breaking and whose corresponding electrostatics and magnetostatics has been studied thoroughly in reference [38], as well as the Casimir Effect, in references [39,40]. Another coupling involving the dual gauge field strength tensor in 3 + 1 dimensions is the so called axion θ-electrodynamics, which can be used to describe insulators with boundaries [41][42][43][44].In the context of Casimir Effect, in 3 + 1 dimensions, Chern-Simons surfaces can also be used to obtain Casimir repulsion setups with planar symmetry [45]. In higher dimensions, the Casimir force has been studied in Randall-Sundrum models [46], which can be interpreted as a kind of ground state for Chern-Simons gravity [47].Regarding the Maxwell-Chern-Simons electrodynamics, there are two interesting questions no yet explored in the literature, ...

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Field Sources in a CPT-Even Lorentz-Violation Maxwell Electrodynamics

Borges

Barone

2019

Braz J Phys

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This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a model which exhibits Lorentz symmetry breaking. We investigate such interactions in the CPT-even photon sector of the Standard Model Extension (SME), where the Lorentz symmetry breaking is caused by a background tensor K (F )αβστ . Since the background tensor is very tiny, we treat it perturbatively up to first order and we focus on physical phenomena which have no counterpart in Maxwell electrodynamics. We consider effects related to field sources describing point-like charges, straight line currents and Dirac strings. We also investigate the so called Aharonov-Bohm bound states in a Lorentz-symmetry breaking scenario. We use atomic experimental data to verify if we could impose upper bounds to the Lorentz-symmetry breaking parameters involved. We also use some overestimated constrains for the Lorentz-symmetry breaking parameters in order to investigate if the obtained results could be relevant for condensed matter systems.

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

Cited by 26 publications

References 56 publications

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

Field Sources in a CPT-Even Lorentz-Violation Maxwell Electrodynamics

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