Finite axionic electrodynamics from a new non-commutative approach

Gaete, Patricio; Spallucci, Euro

doi:10.1088/1751-8113/45/6/065401

Cited by 21 publications

(36 citation statements)

References 42 publications

(111 reference statements)

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“…We now turn to the problem of obtaining the interaction energy between static point-like sources for a Born-Infeldlike model, our analysis follows closely that of Refs. [49,50]. As already mentioned, the corresponding theory is governed by the Lagrangian density (9), that is,…”

Section: Born-infeld-like Modelmentioning

confidence: 96%

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Remarks on nonlinear electrodynamics

2014

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We consider both generalized Born-Infeld and exponential electrodynamics. The field energy of a pointlike charge is finite only for Born-Infeld-like electrodynamics. However, both Born-Infeld-type and exponential electrodynamics display the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. These are shown to result in longrange (1/r 5 -type) corrections to the Coulomb potential. Once again, for their noncommutative versions, the interaction energy is ultraviolet finite.

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Section: Born-infeld-like Modelmentioning

confidence: 96%

“…Following our earlier line of argument [49,50], we shall give a concise description of the Born-Infeld-like electrodynamics defined in a noncommutative geometry. In such a case, Gauss' law reads By proceeding in the same way as in [40], we obtain the static potential for two opposite charges e located at 0 and L:…”

Section: Born-infeld-like Modelmentioning

confidence: 99%

Remarks on nonlinear electrodynamics

2014

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“…Next, the corresponding formulation of this theory in the presence of a minimal length is by means of a smeared source [26,27]. As a consequence, we will take the sources asρ…”

Section: Yang-mills In the Presence Of A Minimal Lengthmentioning

confidence: 99%

“…The θ-expansion of the function F is only for reasons of calculation. This has nothing to do with the θ-expansion through the Moyal ⋆-product, as we have explained in [26]. We now want to consider the (g 4 ) screening contribution to the potential, which is due to the exchange of transverse gluons.…”

Section: Yang-mills In the Presence Of A Minimal Lengthmentioning

confidence: 99%

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Remarks on the interquark potential in the presence of a minimal length

Gaete

2013

J. Phys. A: Math. Theor.

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Abstract. We calculate the lowest-order corrections to the static potential for both Yang-Mills theory and gluodynamics in curved space-time, in the presence of a quantum gravity induced minimal length. Our analysis is carried out within stationary perturbation theory. As a consequence, the potential energy is the sum of a Yukawalike potential and a linear potential for gluodynamics in curved space-time, leading to the confinement of static charges. Interestingly enough, we obtain that the coefficient of the linear term ("string tension") is ultraviolet finite. We should highlight the role played by the new quantum of length in our analysis.

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The axion-photon mixing in non-linear electrodynamic scenarios

Paixão

Ospedal

Neves

et al. 2022

J. High Energ. Phys.

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In this contribution, we re-assess some aspects of axionic electrodynamics by coupling non-linear electromagnetic effects to axion physics. We present a number of motivations to justify the coupling of the axion to the photon in terms of a general non-linear extension of the electromagnetic sector. Our emphasis in the paper relies on the investigation of the constitutive permittivity and permeability tensors, for which the axion contributes by introducing dependence on the frequency and wave vector of the propagating radiation. Also, we point out how the axion mass and the axion-photon-photon coupling constant contribute to a dispersive behavior of the electromagnetic waves, in contrast to what happens in the case of non-linear extensions, when effective refractive indices appear which depend only on the direction of the propagation with respect to the external fields. The axion changes this picture by yielding refractive indices with dependence on the wavelength. We apply our results to the special case of the (non-birefringent) Born-Infeld Electrodynamics and we show that it becomes birefringent whenever the axion is coupled. The paper is supplemented by an appendix, where we follow our own path to approach the recent discussion on a controversy in the definition of the Poynting vector of axionic electrodynamics.

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Finite axionic electrodynamics from a new non-commutative approach

Cited by 21 publications

References 42 publications

Remarks on nonlinear electrodynamics

Remarks on nonlinear electrodynamics

Remarks on the interquark potential in the presence of a minimal length

The axion-photon mixing in non-linear electrodynamic scenarios

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