On propagation of photons in a magnetized medium

Rodríguez, L. Cruz; Martı́nez, A. Pérez; Rojas, Hugo Perez; Querts, E. Rodríguez

doi:10.1002/asna.201512245

Cited by 3 publications

(5 citation statements)

References 8 publications

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“…Π S ij , Π A ij are the symmetric and antisymmetric parts of the photon selfenergy tensor. The first term corresponds to the Ohm current and the second is the Hall current [23]. The Hall and Faraday effects occur for the C-non-symmetric case; as different from the chiral magnetic effect, which occurs in both the C-symmetric and non-symmetric cases.…”

Section: A Chiral Conductivity In a Charged Magnetized Mediummentioning

confidence: 98%

“…The dispersion equations for photons propagating in the medium can be solved in any direction. For instance, the case of propagation parallel to B, in which we are interested [20], for transverse modes it was found the relativistic Hall conductivity as well as the Faraday Effect [23,24]. The last arise due to the breaking of the electromagnetic wave chiral symmetry induced by the Cnon-invariance of the transverse modes.…”

Section: Introductionmentioning

confidence: 99%

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Chiral current generation in QED by longitudinal photons

Avalo,

Rojas

2016

Preprint

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We report the generation of a pseudovector electric current having imbalanced chirality in an electron-positron strongly magnetized gas in QED. It propagates along the external applied magnetic field B as a chiral magnetic effect in QED. It is triggered by a perturbative electric field parallel to B, associated to a pseudovector longitudinal mode propagating along B. An electromagnetic chemical potential was introduced, but our results remain valid even for vanishing chemical potential. A nonzero fermion mass was assumed, which is usually considered vanishing in the literature. In the quantum field theory formalism at finite temperature and density, an anomaly relation for the axial current was found for a medium of massive fermions. It bears some analogy to the Adler-Bell-Jackiw anomaly. From the expression for the chiral current in terms of the photon self-energy tensor in a medium, it is obtained that electrons and positrons scattered by longitudinal photons (inside the light cone) contribute to the chiral current, as well as the pair creation due to longitudinal photons (out of light cone). In the static limit, an electric pseudovector current is obtained in the lowest Landau level.

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Section: A Chiral Conductivity In a Charged Magnetized Mediummentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Chiral current generation in QED by longitudinal photons

Avalo,

Rojas

2016

Preprint

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“…However, as was pointed out in Refs. 3,4 , FR effects can be derived from a quantum-relativistic approach which is more appropriate to describe electromagnetic waves under certain extreme conditions that can be present in the Universe.…”

Section: Faraday Effectmentioning

confidence: 99%

“…3,4 we studied the relation between Faraday angle and Hall conductivity, showing their quantized feature. It was done on the basis of the detailed study of general properties of the photon self-energy and the dispersion equations for photons propagating in the medium, parallel and perpendicular to the magnetic field, considering that the photon self-energy satisfies properties of gauge, Lorentz and CPT invariance 2 .…”

Section: Faraday Effectmentioning

confidence: 99%

Quantum Faraday Effect in the Universe

Rodríguez

Martı́nez

Piccinelli

et al. 2017

Int. J. Mod. Phys. Conf. Ser.

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We study the Quantum Faraday rotation starting from the photon self-energy in the presence of a constant magnetic field. The Faraday angle is calculated in the non-degenerate regime and for weak field limit. Two physical scenarios, possibly characterized by these conditions, are the recombination epoch and the jets originated in pulsars. We discuss This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. the resonant behavior that the Faraday angle exhibits in these scenarios and investigate the possibility of detecting cosmic magnetic fields through this resonant mechanism.

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“…Notice that for the case of propagation along B , the pseudo‐scalar

frakturG \neq 0

only for the longitudinal mode

b_{μ}^{(2)}

, independently of the C ‐symmetry of the system. An expansion of the electromagnetic current density in functional series of a ν gives

j_{μ} ((), A_{μ}^{ext} + a_{μ}) = j_{μ} ((), A_{μ}^{italicext}) + \frac{δ j_{μ}}{δ A_{ν}^{ext}} a_{ν} + \dots,

whose linear term in a ν is (Cruz Rodriguez et al ; Felipe et al ) j i = Π iν a ν = Y ij E j (the third term comes from the second one by using the four‐dimensional transversality of Π μν due to gauge invariance Π μν k ν = 0), where E j = i ( ωa j − k j a 0 ) is the electric field, with a 4 = ia 0 and k 4 = iω , also

j_{μ} ((), A_{μ}^{italicext}) = N_{0} δ_{μ 4}

, where N 0 is the net density of charged particles. The term Y ij = Π ij / iω is the complex conductivity tensor.…”

Section: Chiral Effect Induced By Longitudinal Photons In Qedmentioning

confidence: 99%

Chiral effects in gauge theories and the chiral chemical potential

Avalo

Rojas

2017

Astron Nachr

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The chiral balance is broken as a result of an anomaly relation for the axial current in a strongly magnetized electron–positron gas in QED. The pair creation process, due to the decay of longitudinal axial photons (out of light cone), induces an imbalanced chirality and contributes to a chiral current along the external magnetic field B. In our case, a pseudo‐vector longitudinal mode generates the chiral charge density. A chiral chemical potential is not necessary. Only an electromagnetic chemical potential is introduced, but the chiral effect is valid even when it vanishes. A nonzero fermion mass is assumed, which is usually considered vanishing. The introduction of a chiral chemical potential in the frame of electroweak theory at finite temperature and density is discussed. It is not compatible with the Standard Model, since the spontaneous symmetry breaking prevents the conservation of the weak neutral charge.

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On propagation of photons in a magnetized medium

Cited by 3 publications

References 8 publications

Chiral current generation in QED by longitudinal photons

Chiral current generation in QED by longitudinal photons

Quantum Faraday Effect in the Universe

Chiral effects in gauge theories and the chiral chemical potential

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