Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems

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

doi:10.1103/physreva.88.052126

Cited by 9 publications

(17 citation statements)

References 31 publications

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“…Typical values of temperature are around T/m e = 10 −3 (Zhu et al 2019) and chemical potential /m e = 2 (Rodríguez 2013). Then, the condition ≫ T is fulfilled and degenerate limit can be applied (see Pétri 2016; Rodríguez et al 2013) ] . We are interested in a strong magnetic field case B ≫ B c = m 2 e ∕e, where all the particles are in the Landau lowest level, that is, n L = 0.…”

Section: Degenerate Ultra-relativistic and Strong Magnetic Field Limitmentioning

confidence: 99%

“…Typical values of temperature are around T / m e = 10 −3 (Zhu et al 2019) and chemical potential μ / m e = 2 (Rodríguez 2013). Then, the condition μ ≫ T is fulfilled and degenerate limit can be applied (see Pétri 2016; Rodríguez et al 2013). In this limit, the Fermi Dirac distribution for fermions tends to a Heaviside function

n_{e} (ϵ_{p_{3}, n}) \to θ (μ - ϵ)

and the contribution of anti‐fermions vanishes

n_{p} (ϵ_{p_{3}, n}) \to 0

.…”

Section: Propagation Of Photons In Magnetized Mediummentioning

confidence: 99%

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The photon time delay in magnetized medium magnetosphere

et al. 2021

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We calculate the time delay for photons propagating in a charged electron-positron gas at finite temperature and in an external magnetic field with the final aim of studying the effect for photons in a neutron star magnetosphere. The dispersion relations are solved in terms of analytic functions, in the degenerate, strong magnetic field, and ultra-relativistic limit. For fixed values of frequency, temperature, and chemical potential, we study the dependence of photon time delay with the magnetic field strength, as well as with distance. For the latter, we adopt a magnetic dipole configuration and obtain that, according to the expectation, photons of higher energy experience a minor time delay. Obtained results are compared with the previous ones obtained for the photon time delay in vacuum magnetosphere.

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Section: Degenerate Ultra-relativistic and Strong Magnetic Field Limitmentioning

confidence: 99%

n_{e} (ϵ_{p_{3}, n}) \to θ (μ - ϵ)

and the contribution of anti‐fermions vanishes

n_{p} (ϵ_{p_{3}, n}) \to 0

.…”

Section: Propagation Of Photons In Magnetized Mediummentioning

confidence: 99%

The photon time delay in magnetized medium magnetosphere

et al. 2021

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“…To solve this difficulty, we shall introduce new variables y N −n+1 , ...y N and rewrite Eq. (34) as G rest (A) = dy 1 ...dy N −n+1 ...dy N × δ(y N −n+1 )...δ(y N ) e −X T (y)AX(y) , (35) and after it, we change the variables from y to x by means of the Jacobian of the transformation of coordinates…”

Section: Path Integralsmentioning

confidence: 99%

Strong magnetic fields in gauge theories

Rojas

Avalo

2021

Rev. Mex. Fis. E

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The problem of photon propagation in a medium in presence of a strong magnetic field in the frame of quantum electrodynamics is discussed in the present paper, based on previous literature in this area. The breaking of the spatial symmetry by the magnetic field determine the existence of a set of basic vectors and tensors which must satisfy the gauge and CPT invariance of quantum electrodynamics. The charge symmetric and non-symmetric cases are discussed. In the second case the Faraday effect is produced. A chiral current arises, associated to a pseudovector eigenvector ofthe polarization operator (due to the breaking of the spatial symmetry by the external magnetic field), related to the so-called axial anomaly. The path integrals and functional derivation are widely used to obtain the self-energy and vertex operators, and the Dyson equations. The inadequate introduction of a chiral chemical potential in the standard model is discussed for the Weinberg-Salam model for electroweak interactions.

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“…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%

“…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%

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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Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems

Cited by 9 publications

References 31 publications

The photon time delay in magnetized medium magnetosphere

The photon time delay in magnetized medium magnetosphere

Strong magnetic fields in gauge theories

Quantum Faraday Effect in the Universe

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