Classical solutions in a Lorentz-violating Maxwell-Chern-Simons electrodynamics

Belich, H.; Ferreira, Manoel M.; Helayël-Neto, J. A.; Orlando, M. T. D.

doi:10.1103/physrevd.68.025005

Cited by 65 publications

(85 citation statements)

References 19 publications

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“…The solution to these equations may unveil some interesting aspects, such as the property of anisotropy (induced by a space-like background, − → v ) in the interaction potential derived from such equations. This issue is actually being investigated and we shall report on it in a forthcoming paper [11].…”

Section: Concluding Commentsmentioning

confidence: 99%

Erratum: Dimensional reduction of a Lorentz- andCPT-violating Maxwell-Chern-Simons model [Phys. Rev. D67, 125011 (2003)]

Belich¹,

Ferreira²,

Helayël-Neto³

et al. 2004

Phys. Rev. D

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108

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Taking as starting point a Lorentz and CPT non-invariant Chern-Simons-like model defined in 1+3 dimensions, we proceed realizing its dimensional reduction to D = 1 + 2. One then obtains a new planar model, composed by the Maxwell-Chern-Simons (MCS) sector, a Klein-Gordon massless scalar field, and a coupling term that mixes the gauge field to the external vector, v µ . In spite of breaking Lorentz invariance in the particle frame, this model may preserve the CPT symmetry for a single particular choice of v µ . Analyzing the dispersion relations, one verifies that the reduced model exhibits stability, but the causality can be jeopardized by some modes. The unitarity of the gauge sector is assured without any restriction, while the scalar sector is unitary only in the space-like case.

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Section: Concluding Commentsmentioning

confidence: 99%

Erratum: Dimensional reduction of a Lorentz- andCPT-violating Maxwell-Chern-Simons model [Phys. Rev. D67, 125011 (2003)]

Belich¹,

Ferreira²,

Helayël-Neto³

et al. 2004

Phys. Rev. D

Self Cite

108

View full text Add to dashboard Cite

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“…the plates) makes the GF derived in Refs. [24,25,26,27] not suitable for our purposes. Thus the aim of this section is the construction of the Green's functions which incorporates the presence of boundaries.…”

Section: Green's Function Methodsmentioning

confidence: 99%

“…To circumvent the non invertibility of the corresponding Minkowski matrix one can further work in the Lorentz gauge. The free-space GF (satisfying the standard boundary conditions at infinity) in momentum [26,27] and coordinate [24,25] representations can be obtained in a simple fashion. In the present work we are concerned with the effects of this Lorentz-violating electrodynamics on the Casimir force between two parallel conducting plates in the vacuum.…”

Section: Green's Function Methodsmentioning

confidence: 99%

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Casimir effect in presence of spontaneous Lorentz symmetry breaking

Escobar

2018

J. Phys.: Conf. Ser.

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Abstract. The Casimir effect is one of the most remarkable consequences of the nonzero vacuum energy predicted by quantum field theory. In this contribution we study the Lorentzviolation effects of the minimal standard-model extension on the Casimir force between two parallel conducting plates in the vacuum. Using a perturbative method, we compute the relevant Green's function which satisfies given boundary conditions. The standard pointsplitting technique allow us to express the vacuum expectation value of the stress-energy tensor in terms of this Green's function. Finally, we study the Casimir energy and the Casimir force paying particular attention to the quantum effects as approaching the plates.

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“…We finally mention that the need for a low-energy description beyond effective field theory is also unlikely to arise in the context of candidate underlying models with novel Lorentz-invariant aspects, such as additional particles, new symmetries, or large extra dimensions. Lorentz-symmetric modifications can therefore be implemented into the SME, if necessary [85][86][87].…”

Section: The Standard-model Extensionmentioning

confidence: 99%

The Lorentz-Violating Extension of the Standard Model

Lehnert

2004

Beyond the Desert 2003

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Abstract. Quantum-gravity effects are expected to be suppressed by the Planck mass. For experimental progress it is therefore important to identify potential signatures from Planck-scale physics that are amenable to ultrahigh-precision tests. It is argued that minuscule violations of Lorentz and CPT symmetry are candidate signals. In addition, theoretical and experimental aspects of the Standard-Model Extension, which describes the emergent low-energy effects, are discussed. MotivationAn important open question in our understanding of nature at its fundamental level concerns a unified quantum description of all fundamental interactions including gravity. Such a theory is likely to become dominant only as the Planck scale is approached, so that quantum-gravity effects are expected to be minuscule at presently attainable energies. Moreover, the absence of a fully realistic and viable candidate underlying theory provides a major obstacle for the identification of concrete quantum-gravity signatures that can be searched for in present-day or near-future experiments.A possible approach to overcome this phenomenological issue is to determine exact relations in the currently accepted laws of physics that may be violated in prospective fundamental theories and that can be tested with ultrahighprecision. Symmetries typically satisfy these criteria. For example, Lorentz and CPT invariance are cornerstones of our present understanding of nature at the fundamental level, and a variety of Lorentz and CPT tests belong to the most sensitive null experiments available. Lorentz and CPT violation is also a key feature of certain approaches to underlying physics.For example, couplings varying on cosmological scales are one possible source of Lorentz and CPT violation [1]. This fact does not come as a surprise: parameters dependent on spacetime break translational invariance, and translations, rotations, and boosts are linked in the Poincaré group. Thus, violations of translation symmetry can also affect Lorentz invariance. This can be understood intuitively as follows. The equations of motion typically contain the gradient of the coupling, which selects a preferred direction in spacetime leading to apparent Lorentz violation.In this talk, we discuss some theoretical and experimental aspects of the Standard-Model Extension (SME) [2][3][4][5][6][7], which is the low-energy framework for Lorentz-breaking effects. The SME is a dynamical model constructed to contain all Lorentz-and CPT-violating lagrangian terms consistent with coordinate

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Classical solutions in a Lorentz-violating Maxwell-Chern-Simons electrodynamics

Cited by 65 publications

References 19 publications

Erratum: Dimensional reduction of a Lorentz- andCPT-violating Maxwell-Chern-Simons model [Phys. Rev. D67, 125011 (2003)]

Erratum: Dimensional reduction of a Lorentz- andCPT-violating Maxwell-Chern-Simons model [Phys. Rev. D67, 125011 (2003)]

Casimir effect in presence of spontaneous Lorentz symmetry breaking

The Lorentz-Violating Extension of the Standard Model

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