On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

Alfaro, Jorge; Andrianov, Alexander A.; Cambiaso, M.; Giacconi, P.; Soldati, Roberto

doi:10.1016/j.physletb.2006.06.075

Cited by 68 publications

(48 citation statements)

References 60 publications

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“…Their properties were thoroughly described in [64]. In order to obtain the normal modes of propagation of the MCS field, let us introduce the kinetic 4×4 Hermitian matrix K with elements…”

Section: Discussionmentioning

confidence: 99%

Stellar matter with pseudoscalar condensates

Andrianov¹,

Andrianov²,

Espriu³

et al. 2016

Eur. Phys. J. C

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In this work we consider how the appearance of gradients of pseudoscalar condensates in dense systems may possibly influence the transport properties of photons in such a medium as well as other thermodynamic characteristics. We adopt the hypothesis that in regions where the pseudoscalar density gradient is large the properties of photons and fermions are governed by the usual lagrangian extended with a Chern-Simons interaction for photons and a constant axial field for fermions. We find that these new pieces in the lagrangian produce non-trivial reflection coefficients both for photons and fermions when entering or leaving a region where the pseudoscalar has a non-zero gradient. A varying pseudoscalar density may also lead to instability of some fermion and boson modes and modify some properties of the Fermi sea. We speculate that some of these modifications could influence the cooling rate of stellar matter (for instance in compact stars) and have other observable consequences. While quantitative results may depend on the precise astrophysical details most of the consequences are quite universal and consideration should be given to this possibility.

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“…Their properties were thoroughly described in [64]. In order to obtain the normal modes of propagation of the MCS field, let us introduce the kinetic 4×4 Hermitian matrix K with elements…”

Section: Discussionmentioning

confidence: 99%

Stellar matter with pseudoscalar condensates

Andrianov¹,

Andrianov²,

Espriu³

et al. 2016

Eur. Phys. J. C

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show abstract

“…. ) в столкновении тяжелых ионов [11] и обеспечить непротиворечивость динамики фотонов в случае лагранжиана ЧС [13] с временипо-добным вектором ЧС.…”

Section: модель керрола-филда-джекива с границейunclassified

“…Напомним вид киральных векторов поляри-зации для векторного поля Максвелла-Черна-Саймонса (МЧС), которые строятся при помощи проектора на плоскость, поперечную векторам k µ , ζ ν [13]:…”

Section: модель керрола-филда-джекива с границейunclassified

Прохождение Векторными Частицами Границы Между Средой С Нарушением Пространственной Четности И Вакуумом

Андрианов¹,

Kolevatov²

2013

ТМФ

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“…In other contexts, θ ED under consideration here has been studied as a 3 þ 1 particular kind of Maxwell-Chern-Simons electrodynamics, where it has received considerable attention [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. And also it has been studied as a restricted subset of the Standard Model extension [32,33], where several results have been achieved, too [34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Electro- and magnetostatics of topological insulators as modeled by planar, spherical, and cylindricalθboundaries: Green’s function approach

2016

Self Cite

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The Green's function method is used to analyze the boundary effects produced by a Chern-Simons extension to electrodynamics. We consider the electromagnetic field coupled to a θ term that is piecewise constant in different regions of space, separated by a common interface Σ, the θ boundary, model which we will refer to as θ electrodynamics. This model provides a correct low-energy effective action for describing topological insulators. Features arising due to the presence of the boundary, such as magnetoelectric effects, are already known in Chern-Simons extended electrodynamics, and solutions for some experimental setups have been found with a specific configuration of sources. In this work we construct the static Green's function in θ electrodynamics for different geometrical configurations of the θ boundary, namely, planar, spherical and cylindrical θ-interfaces. Also, we adapt the standard Green's theorem to include the effects of the θ boundary. These are the most important results of our work, since they allow one to obtain the corresponding static electric and magnetic fields for arbitrary sources and arbitrary boundary conditions in the given geometries. Also, the method provides a well-defined starting point for either analytical or numerical approximations in the cases where the exact analytical calculations are not possible. Explicit solutions for simple cases in each of the aforementioned geometries for θ boundaries are provided. On the one hand, the adapted Green's theorem is illustrated by studying the problem of a pointlike electric charge interacting with a planar topological insulator with prescribed boundary conditions. On the other hand, we calculate the electric and magnetic static fields produced by the following sources: (i) a pointlike electric charge near a spherical θ boundary, (ii) an infinitely straight current-carrying wire near a cylindrical θ boundary and (iii) an infinitely straight uniformly charged wire near a cylindrical θ boundary. Our generalization, when particularized to specific cases, is successfully compared with previously reported results, most of which have been obtained by using the method of images.

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On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

Cited by 68 publications

References 60 publications

Stellar matter with pseudoscalar condensates

Stellar matter with pseudoscalar condensates

Прохождение Векторными Частицами Границы Между Средой С Нарушением Пространственной Четности И Вакуумом

Electro- and magnetostatics of topological insulators as modeled by planar, spherical, and cylindricalθboundaries: Green’s function approach

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