Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory

Rogachevskii, I.; Ruchayskiy, Oleg; Boyarsky, Alexey; Fröhlich, Jürg; Kleeorin, N.; Brandenburg, Axel; Schober, Jennifer

doi:10.3847/1538-4357/aa886b

Cited by 95 publications

(130 citation statements)

References 108 publications

(151 reference statements)

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“…Several results were found by them in astrophysical settings with astrophysical orders of magnitude for LV such as 10 −24 and 10 −23 , GeV, which are not so stringent as the one found here in the torsion fermionic sector with the help of galaxy M51 data, which is of the order of 10 −26 GeV. After we finished the first draft of this paper we found an interesting paper by Rogachevskii et al [23], where they addressed a detailed theory of MHD turbulence and dynamos with chiral magnetism besides the chiral laminar dynamos including the backreaction discussed and used in this paper. In their paper they have investigated the chiral MHD equations, which includes a backreaction of the magnetic field on the chemical potential.…”

Section: Discussionmentioning

confidence: 74%

“…However, due to recent work of Rogachevskii et al [23] on turbulent and chiral dynamos from massless fermions, we show that torsion plays an important role in axial anomalies in cosmology, since the electric field E, given by…”

Section: Chiral Dynamos and Axial Anomalies From Torsion In Cosmologymentioning

confidence: 99%

“…In the next example we consider the equation of a chiral anomaly given by Rogachevskii et al [23], where they introduced a new term in the electric current proportional to the chiral chemical potential μ 5 , conjugated to the axial charge, in the usual thermodynamical sense. This term has the form…”

Section: Chiral Dynamos and Axial Anomalies From Torsion In Cosmologymentioning

confidence: 99%

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Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

Andrade

2017

Eur. Phys. J. C

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Earlier we have computed a Lorentz violation (LV) bound for torsion terms via galactic dynamos and found bounds similar to the one obtained by Kostelecky et al. (Phys Rev Lett 100:111102, 2008) which is of the order of 10 −31 GeV. Their result was found making use of the axial torsion vector in terms of Dirac spinors and minimal torsion coupling in flat space-time of fermions. In this paper, a torsion dynamo equation obtained using the variation of the torsion trace and galaxy M51 data of 500 pc are used to place an upper bound of 10 −26 GeV in LV, which agrees with the one by Kostelecky and his group using an astrophysical framework background. Their lowest bound was obtained in earth laboratory using dual masers. One of the purposes of this paper is to apply the Faraday self-induction magnetic equation, recently extended to torsioned space-time, by the author to show that it lends support to physics in Riemann-Cartan space-time, in several distinct physical backgrounds. Backreaction magnetic effects are used to obtain the LV bounds. Previously Bamba et al. (JCAP 10:058, 2012) have used the torsion trace in their teleparallel investigation of the IGMF, with the argument that the torsion trace leads to less weaker effects than the other irreducible components of the torsion tensor. LV is computed in terms of a chiral-torsion-like current in the new dynamo equation analogous to the Dvornikov and Semikoz dynamo equation with chiral magnetic currents. Making use of the chiral-torsion dynamo equation we estimate the LV bounds in the early universe to be of the order of 10 −24 GeV, which was the order of the charged-lepton sector. Our main result is that it is possible to obtain more stringent bounds than the ones found in the fermion sector of astrophysics in the new revised 2017 data table for CPT and Lorentz violation by Kostelecky and Mewes. They found in several astrophysical backgrounds, orders of magnitude such as 10 −24 and 10 −23 GeV which are not so stringent as the one found here, of 10 −26 GeV, in the torsion fermionic sector with the help of galaxy M51 data. It is also shown that nona e-mail: garcia@dft.if.uerj.br gauge invariance of chiral dynamos and axial anomalies are obtained from the noninvariance of the electric fields under torsion spatial translations.

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Section: Discussionmentioning

confidence: 74%

Section: Chiral Dynamos and Axial Anomalies From Torsion In Cosmologymentioning

confidence: 99%

Section: Chiral Dynamos and Axial Anomalies From Torsion In Cosmologymentioning

confidence: 99%

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Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

Andrade

2017

Eur. Phys. J. C

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“…This is the reason most physicists believe that torsion in EinsteinCartan theory is a low energy version of a quantum torsion as investigated recently by Mavromatos and Plafitsis [12]. This theory would be a sort of quantum gravity with torsion, as investigated in detail by Shapiro [19,20]. This kind of process preserves gauge invariance and the second Maxwell equations modified by a quantum contribution of the order, having the classical field as a zeroth order which does not interact with torsion, and Maxwell equations acquire the clas-sical electrodynamical format.…”

Section: Chiral Dynamo Equation From Torsion Modes In Cs Electrodynammentioning

confidence: 98%

Chiral dynamos and magnetogenesis induced by torsionful Maxwell–Chern Simons electrodynamics

Andrade

2018

Eur. Phys. J. C

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Recently chiral anomalous currents have been investigated by Boyarsky et al. and Brandenburg et al. with respect to applications to the early universe. In this paper we show that these magnetic field anomalies, which can give rise to dynamo magnetic field amplification can also be linked to spacetime torsion through the use of a chemical potential and Maxwell electrodynamics with torsion firstly proposed by de Sabbata and Gasperini. When the axial torsion is constant this electrodynamics acquires the form of a Maxwell-Chern-Simmons (MCS) equations where the chiral current appears naturally and the zero component of torsion plays the role of a chemical potential, while the other components play the role of anisotropic conductivity. The chiral dynamo equation in torsionful spacetime is derived here from MSC electrodynamics. Here we have used a recently derived a torsion LV bound of T 0 ∼ 10 −26 GeV and the constraint that this chiral magnetic field is a seed for galactic dynamo. This estimate is weaker than the one obtained from the chiral battery seed of ∼ 10 30 G without making use of Cartan torsion. The torsion obtained here was derived at 500 pc coherence scale. When a chiral MF is forced to seed a galactic dynamo one obtains a yet weaker MF, of the order of B ∼ 10 12 G, which is the value of a MF at nucleosynthesis. By the use of chiral dynamo equations from parity-violating torsion one obtains a seed field of B ∼ 10 27 G, which is a much stronger MF closer to the one obtained by making use of chiral batteries. Chiral vortical currents in non-Riemannian spacetimes derived in Riemannian spaces previously by Flaschi and Fukushima are extended to include minimal coupling with torsion. The present universe yields B ∼ 10 −24 G, still sufficient to seed galactic dynamos. a

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“…This instability has been a subject of intensive study in recent years [25,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. It is established that the growth of this instability is governed by the chiral anomaly equation.…”

Section: Application To Heavy-ion Collisionsmentioning

confidence: 99%

Impact of domain walls on the chiral magnetic effect in hot QCD matter

Tuchin

2018

Phys. Rev. C

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The chiral magnetic effect (CME)-the separation of positive and negative electric charges along the direction of the external magnetic field in quark-gluon plasma and other topologically nontrivial media-is a consequence of the coupling of electrodynamics to the topological gluon field fluctuations that form metastable CP -odd domains. In phenomenological models it is usually assumed that the domains are uniform and the influence of the domain walls on the electric current flow is not essential. This article challenges the latter assumption. A simple model consisting of a uniform spherical domain in a uniform time-dependent magnetic field is introduced and analytically solved. It is shown that (i) no electric current flows into or out of the domain; (ii) the charge separation current, viz. the total electric current flowing inside the domain in the external field direction, is a dissipative Ohm current; (iii) the CME effect can be produced either by the anomalous current or by the boundary conditions on the domain wall; and (iv) the charge separation current oscillates in plasma long after the external field decays. These properties are qualitatively different from the CME in an infinite medium.

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Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory

Cited by 95 publications

References 108 publications

Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

Lorentz violation bounds from torsion trace fermion sector and galaxy M 51 data and chiral dynamos

Chiral dynamos and magnetogenesis induced by torsionful Maxwell–Chern Simons electrodynamics

Impact of domain walls on the chiral magnetic effect in hot QCD matter

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