Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field

Gorbar, É. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

doi:10.1007/jhep08(2017)103

Cited by 23 publications

(15 citation statements)

References 117 publications

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“…[9][10][11], starting with the action of a point-particle modified by the Berry curvature, a pure quantum effect, together with a modified Poisson bracket structure. Other alternative approaches to derive the same transport equation can be found in the literature [12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory

2018

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We use the on-shell effective field theory (OSEFT) for the derivation of the collision terms of the chiral kinetic theory, up to the first subleading order in the energy expansion. We first prove that the OSEFT Lagrangian can also be obtained from a Foldy-Wouthuysen (FW) diagonalization of the QED Lagrangian associated to a very energetic massless fermion. OSEFT is thus the quantum field theory counterpart of the FW diagonalization in relativistic quantum mechanics for massless fermions. It is important to note that in the FW picture the associated fermions are known to interact non-minimally with the electromagnetic fields, acquire magnetic moments, and have a spatial extent of radius one half their Compton wavelength. These facts are essential to give a semi-classical interpretation of the chiral kinetic theory. We find that the leading order collision term in the energy expansion describes particle-particle and particle-antiparticle collisions, mediated by a soft-photon exchange, and the subleading correction reveals the fact that a chiral fermion interacts differently with the two transverse circular polarized photon states which are present in a medium with chiral imbalance.

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Section: Introductionmentioning

confidence: 99%

Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory

2018

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“…ii) For strong magnetic field the equilibrium distribution function would possess terms which depend on magnetic field due to quantized background, for example it may be taken as the trace of Wigner function as discussed recently for similar cases in Refs. [35,36]. However, this would mean that one permits level crossing (band mixing) [37,38] in the definition of wave packet which is in contradiction with the adiabatic approximation.…”

Section: Boltzmann Transport Equation In Relaxation Time Approachmentioning

confidence: 99%

Spin currents of charged Dirac particles in rotating coordinates

Dayi

Yunt

2018

Annals of Physics

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The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution function up to linear order in the electric field in rotating coordinates, centrifugal force and the derivatives. The spin and spin current densities are calculated by means of this distribution function at zero temperature up to the first order. It is shown that the nonequilibrium part of the distribution function yields the spin Hall effect for fermions constrained to move in a plane perpendicular to the angular velocity and magnetic field. Moreover it yields an analogue of Ohm's law for spin currents whose resistivity depends on the external magnetic field and the angular velocity of the rotating frame. Spin current densities in three-dimensional systems are also established.

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“…Therefore, one must conclude that the CMW is overdamped in a weakly interacting plasma. The only exception, perhaps, is the regime of the superstrong magnetic field when |eB| ≫ T 2 [121].…”

Section: Chiral Magnetic Wavementioning

confidence: 99%

Anomalous plasma: chiral magnetic effect and all that

Shovkovy¹

2021

Preprint

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Chiral anomalous effects in relativistic plasmas are reviewed. The essence of chiral separation and chiral magnetic effects is explained in simple terms. Qualitative differences between the two phenomena, both of which are triggered by background electromagnetic fields, are highlighted. It is shown how an interplay of the chiral separation and chiral magnetic effects could lead to a new collective plasma mode, called the chiral magnetic wave. It is argued that the chiral magnetic wave is overdamped in weakly interacting plasmas. Its fate in a strongly interacting quark-gluon plasma is less clear, especially in the presence of a superstrong magnetic field. The observational signatures of the chiral anomalous effects are discussed briefly.a Some of the anomalous phenomena were proposed by Alexander Vilenkin in the 1980s [6, 7], but they were not fully understood and did not get much traction until much later.

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Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field

Cited by 23 publications

References 117 publications

Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory

Consistent relativistic chiral kinetic theory: A derivation from on-shell effective field theory

Spin currents of charged Dirac particles in rotating coordinates

Anomalous plasma: chiral magnetic effect and all that

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