Second order transport coefficient from the chiral anomaly at weak coupling: Diagrammatic resummation

Jiménez-Alba, Amadeo; Yee, Ho‐Ung

doi:10.1103/physrevd.92.014023

Cited by 20 publications

(33 citation statements)

References 77 publications

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“…We follow the known steps of computing q integration in leading log order [27,32,33,28,29]. A first step in this q integration is to make a change of variable from the azimuthal angle cos θ pq between p and q to the energy transfer q 0 = E p − E p (recall p ≡ p − q), where they are related by…”

Section: )mentioning

confidence: 99%

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Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log

Yee

2019

Phys. Rev. D

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We present the quantum kinetic equation for spin polarization of massive quarks in leading log order of perturbative QCD, which describes time evolution of the spin density matrix in momentum space of a massive quark interacting with a background QCD plasma. We find that the time evolution operator of the spin density matrix, or the quantum kinetic collision terms, are universally of order α 2 s log(1/α s ) in terms of the QCD coupling constant α s = g 2 /(4π). Our quantum kinetic equation is valid for an arbitrary quark mass m m D ∼ gT , where m D is the Debye mass, and can be used to study relaxation dynamics of spin polarization of massive quarks in perturbative QCD

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confidence: 99%

“…‡ See Refs [29,30]. for an introduction to a possible anti-symmetric part, that is called "P-odd spectral density", in the presence of background axial charge.…”

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confidence: 99%

Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log

Yee

2019

Phys. Rev. D

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“…We also mention that the imaginary part of σ(ω) is proportional to the parity-odd spectral density [37,38] ρ odd (k) = −2 Im σ(k) that appears in the thermal fluctuation-dissipation relation of charge current…”

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confidence: 98%

Anatomy of the chiral magnetic effect in and out of equilibrium

2017

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We identify a new contribution to the chiral magnetic conductivity at finite frequencies -the magnetization current. This allows to quantitatively reproduce the known field-theoretic time-dependent (AC) chiral magnetic response in terms of kinetic theory. We evaluate the corresponding AC chiral magnetic conductivity in two flavor QCD plasma at weak coupling. The magnetization current results from the spin response of chiral quasiparticles to magnetic field, and is thus proportional to the quasiparticle's g-factor. In condensed matter systems, where the chiral quasi-particles are emergent and the g-factor can significantly differ from 2, this opens the possibility to tune the AC chiral magnetic response. Introduction and summary -The Chiral Magnetic Effect (CME) [1] (see [2][3][4][5][6] for reviews and additional references) is the generation of electric current along an external magnetic field induced by the imbalance in the densities of right-and left-handed chiral fermions. It has been observed recently in Dirac [7,8] and Weyl [9, 10] semimetals. An evidence for CME in the quark-gluon plasma has been previously reported by high-energy heavy ion experiments at RHIC [11][12][13] and LHC [14].In the limit of a constant external magnetic field, the CME conductivity σ

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“…, and S (0) (Q) are the bare jet propagator given by * S ra (0) (Q) = (−i) 8) with the spinor projection operator 9) and M is the rest mass of the jet. We will consider relativistic cases where the jet momentum p M .…”

Section: Scattering Rate Of the Jet From Its 1-loop Self-energymentioning

confidence: 99%

“…[8] for the relevant details) 15) which is basically a cut of the self-energy where all internal propagators are replaced by their spectral densities. For the bare jet internal line S (0) (P +Q), it imposes simply the onshell δ function on the out-going jet state after the scattering, while the spectral density of the internal gluon line encodes the soft t-channel scatterings with hard LLL quarks or hard thermal gluons.…”

Section: Scattering Rate Of the Jet From Its 1-loop Self-energymentioning

confidence: 99%

Jet quenching parameter of the quark-gluon plasma in a strong magnetic field: Perturbative QCD and AdS/CFT correspondence

Mamo

Yee

2016

Phys. Rev. D

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We compute the jet quenching parameterq of QCD plasma in the presence of strong magnetic field in both weakly and strongly coupled regimes. In weakly coupled regime, we computeq in perturbative QCD at complete leading order (that is, leading log as well as the constant under the log) in QCD coupling constant α s , assuming the hierarchy of scales α s eB T 2 eB. We consider two cases of jet orientations with respect to the magnetic field: 1) the case of jet moving parallel to the magnetic field, 2) the case jet moving perpendicular to the magnetic field. In the former case, we findq ∼ α 2 s (eB)T log(1/α s ), while in the latter we havê q ∼ α 2 s (eB)T log(T 2 /α s eB). In both cases, this leading order result arises from the scatterings with thermally populated lowest Landau level quarks. In strongly coupled regime described by AdS/CFT correspondence, we findq ∼ √ λ(eB)T or q ∼ √ λ √ eBT 2 in the same hierarchy of T 2 eB depending on whether the jet is moving parallel or perpendicular to the magnetic field, respectively, which indicates a universal dependence ofq on (eB)T in both regimes for the parallel case, the origin of which should be the transverse density of lowest Landau level states proportional to eB. Finally, the asymmetric transverse momentum diffusion in the case of jet moving perpendicular to the magnetic field may give an interesting azimuthal asymmetry of the gluon Bremsstrahlung spectrum in the BDMPS-Z formalism. *

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Second order transport coefficient from the chiral anomaly at weak coupling: Diagrammatic resummation

Cited by 20 publications

References 77 publications

Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log

Quantum kinetic theory of spin polarization of massive quarks in perturbative QCD: Leading log

Anatomy of the chiral magnetic effect in and out of equilibrium

Jet quenching parameter of the quark-gluon plasma in a strong magnetic field: Perturbative QCD and AdS/CFT correspondence

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