Holographic anomalous conductivities and the chiral magnetic effect

Gynther, A.; Landsteiner, Karl; Peña-Benítez, Francisco; Rebhan, Anton

doi:10.1007/jhep02(2011)110

Cited by 150 publications

(229 citation statements)

References 54 publications

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“…This is particularly supported by the derivation of CME based on holographic models [122][123][124][125][126][127][128][129][130][131][132][133][134] which intrinsically describe strongly coupled system, where although the whole setup is very different from the above derivation and other calculations based on perturbation theory, the CME conductivity is shown to be given by the same universal result.…”

Section: A Chiral Magnetic Effectmentioning

confidence: 79%

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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Section: A Chiral Magnetic Effectmentioning

confidence: 79%

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

2016

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“…the gauge field A µ as has first been noted in [55]. In fact if one does not calculate the covariant current but rather the consistent current in a scheme that preserves vector-like gauge invariance one finds the consistent current [82,83] …”

Section: Anomaly and Cme At The Edgementioning

confidence: 90%

“…They have been found also via lattice QCD [48][49][50][51][52] and via holographic methods [21,24,25,38,[53][54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 87%

Anomalous transport of Weyl fermions in Weyl semimetals

2014

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We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a recent analysis using kinetic theory in the bulk of the material. We point out that the kinetic currents have to be identified with the covariant currents in quantum field theory. These currents are anomalous and the CME appears as anomalous charge creation/annihilation at the edges of the Weyl semi-metal. We discuss a possible simultaneous experimental test of the chiral magnetic and the chiral vortical effect sensitive to the temperature dependence induce by the gravitational contribution to the axial anomaly.arXiv:1306.4932v3 [hep-th] 28 Jan 2014 2

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“…We assume that k is parallel to the third coordinate axis: k = k 3 e 3 . Then σ CME (k 3 ) can be found from the following Kubo formula [49][50][51]:…”

Section: Chiral Magnetic Effect In the Linear Response Approximationmentioning

confidence: 99%

“…An important consequence of this simple scaling with Fermi velocity is that for free fermions the chiral magnetic conductivity σ CME = v Fμ The slope of the anomalous correlator of non-conserved vector currents at small k 3 is the small-momentum limit of the chiral magnetic conductivity σ CME (k 3 → 0). It is this limit which is relevant for the hydrodynamical description of chirally imbalanced medium [49][50][51]. σ CME (k 3 → 0) is plotted on the left plot on Fig.…”

Section: Chiral Magnetic Effect In the Linear Response Approximationmentioning

confidence: 99%

Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

Buividovich

2014

Phys. Rev. D

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We report on a mean-field study of spontaneous breaking of chiral symmetry for Dirac fermions with contact interactions in the presence of chiral imbalance, which is modelled by nonzero chiral chemical potential. We point out that chiral imbalance lowers the vacuum energy of Dirac fermions, which leads to the increase of the renormalized chiral chemical potential upon chiral symmetry breaking. The critical coupling strength for the transition to the broken phase is slightly lowered as the chiral chemical potential is increased, and the transition itself becomes milder. Furthermore, we study the chiral magnetic conductivity in different phases and find that it grows both in the perturbative weak-coupling regime and in the strongly coupled phase with broken chiral symmetry. In the strong coupling regime the chiral magnetic effect is saturated by vector-like bound states (vector mesons) with mixed transverse polarizations. General pattern of meson mixing in the presence of chiral imbalance is also considered. We discuss the relevance of our study for Weyl semimetals and strongly interacting QCD matter. Finally, we comment on the ambiguity of the regularization of the vacuum energy of Dirac fermions in the presence of chirality imbalance.

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Holographic anomalous conductivities and the chiral magnetic effect

Cited by 150 publications

References 54 publications

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

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

Anomalous transport of Weyl fermions in Weyl semimetals

Spontaneous chiral symmetry breaking and the chiral magnetic effect for interacting Dirac fermions with chiral imbalance

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