Magneto-vortical effect in strongly coupled plasma

Bu, Yanyan; Lin, Shu

doi:10.1140/epjc/s10052-020-7951-5

Cited by 10 publications

(8 citation statements)

References 49 publications

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“…We first discuss the case γ = 0. For vanishing magnetic fieldB = 0 we find a linear relation between M 5 /T andμ (at least for the values of the axial chemical potential displayed) of the form M 5 /T = −μ/2 which is in agreement with [116]. However for finite magnetic fields, M 5 /T is no longer directly proportional to µ/T as evident from the inset in the lower left corner.…”

Section: Jhep04(2021)078supporting

confidence: 81%

Chiral hydrodynamics in strong external magnetic fields

Ammon

Grieninger

Hernandez

et al. 2021

J. High Energ. Phys.

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We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.

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Section: Jhep04(2021)078supporting

confidence: 81%

Chiral hydrodynamics in strong external magnetic fields

Ammon

Grieninger

Hernandez

et al. 2021

J. High Energ. Phys.

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show abstract

“…Recall that the axial chemical potential µ is P-odd and C-even. and was computed in [46,47]. The authors found that…”

Section: Computing the Thermodynamic Susceptibilitiesmentioning

confidence: 99%

Second order equilibrium transport in strongly coupled $\mathcal{N} = 4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography

Grieninger,

Shukla

2021

Preprint

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Equilibrium thermodynamic properties of charged relativistic fluids can be captured by a static generating functional, which is a functional of the background sources. The stress-energy tensor of the fluid, for instance, gets sourced by the background metric, and charge currents are sourced by background gauge fields. In the hydrodynamic regime, where one probes the system at low energy and long length scales, the generating functional admits an expansion in derivatives, capturing the equilibrium response of the fluid to the presence of external sources through various susceptibilities that appear as coefficients in this derivative expansion. For a relativistic fluid in 3+1 dimensions with a U (1) charge, there are nine independent thermodynamic susceptibilities at the second order in the derivative expansion. Of these, seven are time-reversal T invariant and admit Kubo formulas in terms of equilibrium two-point functions of the conserved currents. Making use of the gauge/gravity duality along with these Kubo formulas, we numerically compute all seven T-invariant second order susceptibilities for the charged N = 4 supersymmetric SU (N c ) Yang-Mills plasma in the large N c limit and at strong 't-Hooft coupling λ as a function of the parameter µ/T , where µ is the chemical potential and T is the temperature of the plasma. The dual gravitational description for the charged plasma in thermal equilibrium is provided by the asymptotically AdS 5 Reissner-Nordström black brane geometry. Making use of the Kubo formulas, the susceptibilities are extracted by studying perturbations to the bulk geometry as well as to the bulk gauge field. We also present an estimate of the second order transport coefficient κ, which determines the response of the fluid to the presence of background curvature, for QCD, and compare it with previous determinations made using different techniques.

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“…Recently the combined effect of magnetic field and vorticity has been studied by different groups [11][12][13][14][15][16][17]. In particular, it has been proposed by Hattori and Yin that in the limit of strong magnetic field, where lowest Landau level (LLL) approximation is valid, the effect of vorticity is to shift the energy of the LLL states through spin-orbit coupling [11] ∆ ± = ∓ 1 2 sgn(q f )B • ω, (1.1) where the upper and lower signs correspond to particle and anti-particle of both chiralities and q f is the charge of particle.…”

Section: Introductionmentioning

confidence: 99%

“…Though we study vortical and drift perturbations individually at O(∂), the generation of charge density in vortical solution and generation of heat current in drift solution are connected by Onsager relation[16].…”

mentioning

confidence: 99%

Magneto-vortical effect in strong magnetic field

Lin

Yang

2021

J. High Energ. Phys.

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We develop covariant chiral kinetic theory with Landau level basis. We use it to investigate a magnetized plasma with a transverse electric field and a steady vorticity as perturbations. After taking into account vacuum shift in the latter case, we find the resulting current and stress tensor in both cases can be matched consistently with constitutive equations of magnetohydrodynamics. We find the solution in the vorticity case contains both shifts in temperature and chemical potential as well as excitations of the lowest Landau level states. The solution gives rise to an vector charge density and axial current density. The vacuum parts coming from both shifts and excitations agree with previous studies and the medium parts coming entirely from excitations leads to a new contribution to vector charge and axial current density consistent with standard chiral vortical effect.

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Magneto-vortical effect in strongly coupled plasma

Cited by 10 publications

References 49 publications

Chiral hydrodynamics in strong external magnetic fields

Chiral hydrodynamics in strong external magnetic fields

Second order equilibrium transport in strongly coupled $\mathcal{N} = 4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography

Magneto-vortical effect in strong magnetic field

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