Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model

Rebhan, Anton; Schmitt, Andreas; Stricker, Stefan A.

doi:10.1007/jhep01(2010)026

Cited by 140 publications

(143 citation statements)

References 78 publications

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“…Moreover, the magnitudes of these transport phenomena in the static, homogeneous limit are fixed by underlying anomaly coefficients and are not renormalized by interactions. This universality has been confirmed explicitly in both weak [9][10][11][12] and strong [13][14][15][16][17] coupling computations, and has been proven in hydrostatic constraints analysis [18][19][20]. There is also evidence in favor of them in lattice simulations [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 71%

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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Section: Introductionmentioning

confidence: 71%

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

Jiménez-Alba

Yee

2015

Phys. Rev. D

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“…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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“…where (Hodge dual of) J − and J þ correspond to the currents of UðN f Þ L and UðN f Þ R , respectively [29][30][31].…”

Section: ð3:28þmentioning

confidence: 99%

Chern-Simons five-form and holographic baryons

Lau

Sugimoto

2017

Phys. Rev. D

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In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom-up models, the low energy effective theory of mesons is described by a five-dimensional Yang-Mills-Chern-Simons theory in a certain curved background with two boundaries. The fivedimensional Chern-Simons term plays a crucial role in reproducing the correct chiral anomaly in fourdimensional massless QCD. However, there are some subtle ambiguities in the definition of the Chern-Simons term for the cases with topologically nontrivial gauge bundles, which include the configurations with baryons. In particular, for the cases with three flavors, it was pointed out by Hata and Murata that the naive Chern-Simons term does not lead to an important constraint on the baryon spectrum, which is needed to pick out the correct baryon spectrum observed in nature. In this paper, we propose a formulation of a well-defined Chern-Simons term which can be used for the cases with baryons, and show that it recovers the correct baryon constraint as well as the chiral anomaly in QCD.

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Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model

Cited by 140 publications

References 78 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

Anomalous transport of Weyl fermions in Weyl semimetals

Chern-Simons five-form and holographic baryons

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