Unitarity and nonrelativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model

Scatena, Eslley; Turcati, Rodrigo

doi:10.1103/physrevd.90.127703

Cited by 6 publications

(7 citation statements)

References 26 publications

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“…This result agrees with the Ref. [28], which showed that the modified electrodynamics with CPT-odd Myers-Pospelov isotropic model also violates the unitarity due to the birefringent modes.…”

Section: Unitaritysupporting

confidence: 93%

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Consistency analysis of a CPT-even and CPT-odd Lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field

Sampaio

Passos

2019

Int. J. Mod. Phys. A

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Based on the motivation that some quantum gravity theories predicts the Lorentz Invariance Violation (LIV) around Planck-scale energy levels, this paper proposes a new formalism that addresses the possible effects of LIV in the electrodynamics. This formalism is capable of changing the usual electrodynamics through high derivative arbitrary mass dimension terms that includes a constant background field controlling the intensity of LIV in the models, producing modifications in the dispersion relations in a manner that is similar to the Myers-Pospelov approach. With this framework, it was possible to generate a CPT-even and CPT-odd generalized modifications of the electrodynamics in order to study the stability and causality of these theories considering the isotropic case for the background field. An additional analysis of unitarity at tree level was considered by studying the saturated propagators. After this analysis, we conclude that, while CPT-even modifications always preserves the stability, causality and unitarity in the boundaries of the effective field theory and therefore may be good candidates for field theories with interactions, the CPT-odd one violates causality and unitarity. This feature is a consequence of the vacuum birefringence characteristics that are present in CPT-odd theories for the photon sector.

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Section: Unitaritysupporting

confidence: 93%

“…To simplify the problem we can make the choice k µ = (ω, 0, 0, k 3 ) without loss of generality [28]. With this, we can obtain J µ = (J 0 , J 1 , J 2 , ωJ0 k3 ).…”

Section: Unitaritymentioning

confidence: 99%

Consistency analysis of a CPT-even and CPT-odd Lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field

Sampaio

Passos

2019

Int. J. Mod. Phys. A

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“…However, in Ref. [28], a fully analysis of the degrees of freedom in the electromagnetic sector of the Myers-Pospelov model have shown that the presence of ghosts in the purely timelike case can be avoided when one restricts the allowed values for the momenta. Indeed, since Myers-Pospelov electrodynamics is an effective field theory, one should expect that the energy range of the mentioned model is below the Planck scale.…”

Section: Myers-pospelov Electrodynamicsmentioning

confidence: 99%

Magnetic monopoles in Lorentz-violating electrodynamics

Turcati

Scatena

2018

Physics Letters B

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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.

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“…In the last few years theoretical and phenomenological investigations have used the above effective model as an instrument to look for the Lorentzviolation from quantum field theory. The theoretical studies are summarized in the quantization calculations [2], stability and analytical behavior [3,4] and curved spacetime approach [5]. On the other hand, the phenomenological studies derive constraints on Lorentz invariance violation by using recent astrophysical observations, as one can see in references [6,7,8,9,10,11], for instance.…”

Section: Introductionmentioning

confidence: 99%

Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theory

et al. 2018

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This paper shows a new approach to obtain analytical topological defects of a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which are non-trivial to be integrated. Here we describe three possible scenarios for the equations of motion, named by timelike, spacelike and lightlike respectively. We started our investigation with a kink-like travelling wave Ansatz for the free theory, which led us to constraints for the dispersion relations of each scenario. We also introduced a procedure to obtain analytical solutions for the general theory in the three mentioned scenarios. We exemplified the procedure and discussed the behavior of the defect solutions carefully. It is remarkable that the methodology presented in this study led to analytical models, despite the complexity of the equations of motion derived from the 2D Myers-Pospelov Lagrangian. The methodology here tailored can be applied to several Lagrangians with higher-order derivative terms.

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Unitarity and nonrelativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model

Cited by 6 publications

References 26 publications

Consistency analysis of a CPT-even and CPT-odd Lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field

Consistency analysis of a CPT-even and CPT-odd Lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field

Magnetic monopoles in Lorentz-violating electrodynamics

Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theory

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