Electrodynamics of chiral matter

We study the Casimir effect in axion electrodynamics. A finite θ-term affects the energy dispersion relation of photon if θ is time and/or space dependent. We focus on a special case with linearly inhomogeneous θ along the z-axis. Then we demonstrate that the Casimir force between two parallel plates perpendicular to the z-axis can be either attractive or repulsive, dependent on the gradient of θ. We call this repulsive component in the Casimir force induced by inhomogeneous θ the anomalous Casimir effect.

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“…(13) For further calculations, we employ the following notation for the energy dispersion relations determined from the on-shell condition [89]:…”

Section: Vacuum Energymentioning

confidence: 99%

Anomalous Casimir effect in axion electrodynamics

2019

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“…We are going to neglect its mild time dependence [35] and treat it as a constant * . Recently, there has been a lively discussion of possible effects of the chiral anomaly [40][41][42] on the QGP dynamics in general and its electrodynamics in particular [43][44][45][46][47][48][49][50]. In this paper we adopt a conservative view and disregard these effects until they are firmly established.…”

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confidence: 99%

Magnetic field in expanding quark-gluon plasma

Stewart

Tuchin

2018

Phys. Rev. C

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Intense electromagnetic fields are created in the quark-gluon plasma by the external ultrarelativistic valence charges. The time evolution and the strength of this field are strongly affected by the electrical conductivity of the plasma. Yet, it has recently been observed that the effect of the magnetic field on the plasma flow is small. We compute the effect of plasma flow on magnetic field and demonstrate that it is less than 10%. These observations indicate that the plasma hydrodynamics and the dynamics of electromagnetic field decouple. Thus, it is a very good approximation, on the one hand, to study QGP in the background electromagnetic field generated by external sources and, on the other hand, to investigate the dynamics of magnetic field in the background plasma. We also argue that the wake induced by the magnetic field in plasma is negligible. Disciplines Nuclear | Physics CommentsThis article is published as Stewart, Evan, and Kirill Tuchin. "Magnetic field in expanding quark-gluon plasma." Physical Review C 97, no. 4 (2018) Intense electromagnetic fields are created in the quark-gluon plasma by the external ultrarelativistic valence charges. The time evolution and the strength of this field are strongly affected by the electrical conductivity of the plasma. Yet, it has recently been observed that the effect of the magnetic field on the plasma flow is small. We compute the effect of plasma flow on magnetic field and demonstrate that it is less than 10%. These observations indicate that the plasma hydrodynamics and the dynamics of electromagnetic field decouple. Thus, it is a very good approximation, on the one hand, to study QGP in the background electromagnetic field generated by external sources and, on the other hand, to investigate the dynamics of magnetic field in the background plasma. We also argue that the wake induced by the magnetic field in plasma is negligible.

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“…For temperatures below the electroweak symmetry breaking, where hyperfields are replaced by the ordinary electric and magnetic fields, the chiral coupling will not lead to a change in the fermion number, but -if the lepton mass can be ignored -the anomaly leads to a change in the difference between left and right lepton number densities. It was therefore argued that the usual system of MHD equations should be extended to take into account the effect of the chiral anomaly for high enough temperatures [28][29][30][31][32][33][34]. The presence of a chiral asymmetry will lead to an effective electrical current that will also appear in the MHD equations:…”

Section: Introductionmentioning

confidence: 99%

Chiral magnetohydrodynamic turbulence

2017

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In this work the influence of the chiral anomaly effect on the evolution of magnetohydrodynamic turbulence was studied. We argue that before the electroweak symmetry breaking and for temperatures high enough such that the electron mass can be ignored, the description of a charged plasma in general needs to take into account the interplay between turbulence and the anomaly effects. It was demonstrated that this generalization can have important consequences on the evolution of turbulence, leading to the creation of maximally-helical fields from initially non-helical ones. Therefore, chiral effects can strongly support turbulent inverse cascade, and lead to a slower decrease of the magnetic field with time, and also to a faster growth of the correlation length, when compared to the evolution predicted by the standard magnetohydrodynamics description. Using the weak anomaly approximation, and treating the anomaly contributions to magnetic energy and helicity as a small perturbation, we derive the specific solutions for the inverse cascade regime that demonstrate how chiral effects support the inverse cascade.

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Electrodynamics of chiral matter

Cited by 67 publications

References 88 publications

Anomalous Casimir effect in axion electrodynamics

Anomalous Casimir effect in axion electrodynamics

Magnetic field in expanding quark-gluon plasma

Chiral magnetohydrodynamic turbulence

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