Chiral Langevin theory for non-Abelian plasmas

Akamatsu, Yuzuru; Yamamoto, Naoki

doi:10.1103/physrevd.90.125031

Cited by 46 publications

(63 citation statements)

References 69 publications

(159 reference statements)

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“…In the presence of the axial charge, μ A , which breaks CP symmetry, Ref. [70] recently obtained, via Bodecker's approach, a CP-odd contribution to the color current…”

Section: B Computation Of C S ðJpjþmentioning

confidence: 99%

“…[70], by going to the next order in time derivatives. It is of the utmost importance to implement the correct value of the chiral magnetic current in the presence of a time-varying magnetic field in any realistic simulation of the chiral magnetic effect (or any other anomaly-induced transport phenomena) in heavy-ion collisions.…”

Section: B Computation Of C S ðJpjþmentioning

confidence: 99%

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

Jiménez-Alba

Yee

2015

Phys. Rev. D

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We compute one of the second order transport coefficients arising from the chiral anomaly in a hightemperature weakly coupled regime of quark-gluon plasma. This transport coefficient is responsible for the CP-odd current that is proportional to the time derivative of the magnetic field, and can be considered as a first correction to the chiral magnetic conductivity at finite, small frequency. We observe that this transport coefficient has a nonanalytic dependence on the coupling as ∼1=ðg 4 logð1=gÞÞ at the weak coupling regime, which necessitates a resummation of infinite ladder diagrams with leading pinch singularities to get a correct leading log result, a feature quite similar to what one finds in the computation of electric conductivity. We formulate and solve the relevant CP-odd Schwinger-Dyson equation in real-time perturbation theory that reduces to a coupled set of second order differential equations at leading log order. Our result for this second order transport coefficient indicates that chiral magnetic current has some resistance to the time change of the magnetic field; this shall be called the "chiral induction effect." We also discuss the case of color current induced by a color magnetic field.

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“…In the presence of the axial charge, μ A , which breaks CP symmetry, Ref. [70] recently obtained, via Bodecker's approach, a CP-odd contribution to the color current…”

Section: B Computation Of C S ðJpjþmentioning

confidence: 99%

Section: B Computation Of C S ðJpjþmentioning

confidence: 99%

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

Jiménez-Alba

Yee

2015

Phys. Rev. D

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“…[24,25]. The regime of applicability will be essential for determining the scaling symmetry of the ChMHD below.…”

Section: Chiral Magnetohydrodynamics For Charged Plasmasmentioning

confidence: 99%

Scaling laws in chiral hydrodynamic turbulence

Yamamoto

2016

Phys. Rev. D

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134

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We study the turbulent regime of chiral (magneto)hydrodynamics for charged and neutral matter with chirality imbalance. We find that the chiral magnetohydrodynamics for charged plasmas possesses a unique scaling symmetry, only without fluid helicity under the local charge neutrality. We also find a different type of unique scaling symmetry in the chiral hydrodynamics for neutral matter with fluid helicity in the inertial range. We show that these symmetries dictate the self-similar inverse cascade of the magnetic and kinetic energies. Our results imply the possible inverse energy cascade in core-collapse supernovae due to the chiral transport of neutrinos.

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“…There are a variety of methods to derive Eq. (30) from microscopic quantum field theory [2, 15, 102-104, 115, 117, 119, 120, 136, 137], mesoscopic kinetic theory [138][139][140][141][142][143][144][145][146][147][148][149][150][151][152], to macroscopic hydrodynamic approach [22,[153][154][155][156][157][158]. Here we pick up one of these derivations given by Fukushima, Kharzeev, and Warringa [115] because it is elementary and easy to see the relation between CME and the lowest Landau level and the axial anomaly.…”

Section: A Chiral Magnetic Effectmentioning

confidence: 99%

Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review

2016

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The hot and dense matter generated in heavy-ion collisions may contain domains which are not invariant under P and CP transformations. Moreover, heavy-ion collisions can generate extremely strong magnetic fields as well as electric fields. The interplay between the electromagnetic field and triangle anomaly leads to a number of macroscopic quantum phenomena in these P-and CP-odd domains known as the anomalous transports. The purpose of the article is to give a pedagogical review of various properties of the electromagnetic fields, the anomalous transports phenomena, and their experimental signatures in heavyion collisions. CONTENTS

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Chiral Langevin theory for non-Abelian plasmas

Cited by 46 publications

References 69 publications

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

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

Scaling laws in chiral hydrodynamic turbulence

Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review

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