A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

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

doi:10.1140/epjc/s10052-017-5278-7

Cited by 18 publications

(41 citation statements)

References 54 publications

(78 reference statements)

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“…Therefore, for this case the image method is valid for Maxwell-Chern-Simons electrodynamics for the conducting plate condition (49). A similar situation occurs in a Lorentz violation theory considered in [65] where the image method is valid.…”

Section: Point-like Charge and Platementioning

confidence: 60%

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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Section: Point-like Charge and Platementioning

confidence: 60%

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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“…INTRODUCTIONLorentz symmetry violating (LV) field theories have been recently received substantial attention as a possible signature for underlying physics arising from the Planck scale. The search for Lorentz violation effects have been developed in several branches of physics mainly in the framework of the Standard Model Extension (SME) [1-4]: we mention, for instance, QED effects [5-7, 9, 10], radiative corrections [11][12][13], the study of Lorentz symmetry violation with boundary conditions [14], and effects in classical electrodynamics [15][16][17][18], among many others. In particular, scalar fields are particularly interesting for exploring the fundamental theoretical properties of field theories with Lorentz invariance [19][20][21][22][23][24][25][26][27][28][29][30] and, for the case of the Higgs fields, also for phenomenology [31,32].Regarding scalar field theories in a Lorentz symmetry breaking scenario, some recent works [33, 34] considered a model composed by a massive real scalar field Lagrangian augmented by the aether-like CPT-even Lorentz symmetry breaking term, which is a coupling between the derivative of the scalar field and a constant background vector v µ , and studying the Casimir effect both for zero [33] and finite temperature [34].…”

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confidence: 99%

Mirrors and field sources in a Lorentz-violating scalar field theory

2020

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In this paper we consider different classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector v µ coupled to its derivative. We perform an investigation of the interaction energy between stationary steady sources concentrated along parallel branes with an arbitrary number of dimensions, and derive from this study some physical consequences. For the case of the scalar dipole we show the emergence of a nontrivial torque, which is distinctive sign of the Lorentz violation. We also investigate a similar model in the presence of a semi-transparent mirror. For a general relative orientation between the mirror and the v µ , we are able to perform calculations perturbatively in v µ up to second order. We also find results without recourse to approximations for two special cases, that of the mirror and v µ being parallel or perpendicular to each other. For all these configurations, the propagator for the scalar field and the interaction force between the mirror and a point-like field source are computed. It is shown that the image method is valid in our model for the Dirichlet's boundary condition, and we argue that this is a non-trivial result. We also show the emergence of a torque on the mirror depending on its orientation with respect to the Lorentz violating background. This is a new effect with no counterpart in theories with Lorentz symmetry in the presence of mirrors.PACS numbers: I. INTRODUCTIONLorentz symmetry violating (LV) field theories have been recently received substantial attention as a possible signature for underlying physics arising from the Planck scale. The search for Lorentz violation effects have been developed in several branches of physics mainly in the framework of the Standard Model Extension (SME) [1-4]: we mention, for instance, QED effects [5-7, 9, 10], radiative corrections [11][12][13], the study of Lorentz symmetry violation with boundary conditions [14], and effects in classical electrodynamics [15][16][17][18], among many others. In particular, scalar fields are particularly interesting for exploring the fundamental theoretical properties of field theories with Lorentz invariance [19][20][21][22][23][24][25][26][27][28][29][30] and, for the case of the Higgs fields, also for phenomenology [31,32].Regarding scalar field theories in a Lorentz symmetry breaking scenario, some recent works [33, 34] considered a model composed by a massive real scalar field Lagrangian augmented by the aether-like CPT-even Lorentz symmetry breaking term, which is a coupling between the derivative of the scalar field and a constant background vector v µ , and studying the Casimir effect both for zero [33] and finite temperature [34]. Inspired by these works, also using a scalar field as the theoretical setup, one of the most fundamental questions one can ask concerns the physical phenomena produced by the presence of point-like sources, mainly the possible emergence of phenomena with no counterpart in the standard, Lorentz invarian...

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“…As discussed in ref. [1], the condition (6) must also be satisfied in a Lorentz-violating theory where the gauge field couples to the macroscopic matter by the term j μ A μ , what is the case of (1).…”

Section: The Propagator In the Presence Of A Conducting Platementioning

confidence: 99%

“…A starting point in this direction was the work of ref. [1], where some features of a Lorentz-violating theory in the CPT-even sector of the SME were investigated in the presence of a perfectly conducting plate.…”

Section: Introductionmentioning

confidence: 99%

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New Effects in the Vicinity of a Perfectly Conducting Plate in a Non-minimal Lorentz Violation Scenario

Borges

Barone

2020

Braz J Phys

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In this paper we consider some physical phenomena in the vicinity of a conducting plate in a non-minimal Lorentz-violating scenario in 3+1 dimensions. We consider a model where the dynamics of the abelian gauge field is given by the standard Maxwell Lagrangian added by a Lorentz symmetry breaking term with the presence of higher order derivatives in the gauge field. The Lorentz symmetry breaking is due to the presence of a single background vector d λ and we perform the calculations perturbatively up to first order in d λ. We obtain the propagator for the gauge field in the presence of a mirror and the interaction force between the mirror and a point-like electric charge, as well as the interaction force between the mirror and an electric dipole. We show that, on the contrary to what happens in a minimal Lorentz-violating scenario with one single background field (L.H.C. Borges, F.A. Barone, Eur. Phys. J. C 693, 77, 2017), the image method is not valid in the model that we consider in this paper. As a consequence, the symmetry of spatial reflection on the mirror is broken. We also investigate the emergence of a torque in a system composed by a mirror and a point-like electric charge, placed at a fixed distance apart each other. The results obtained in this work have no counterpart in the Maxwell electrodynamics and were not verified in any Lorentz-violating scenario previously.

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A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Cited by 18 publications

References 54 publications

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

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

Mirrors and field sources in a Lorentz-violating scalar field theory

New Effects in the Vicinity of a Perfectly Conducting Plate in a Non-minimal Lorentz Violation Scenario

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