Response of strongly interacting matter to a magnetic field: Some exact results

Newman, G. M.; Son, D.

doi:10.1103/physrevd.73.045006

Cited by 94 publications

(125 citation statements)

References 14 publications

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“…Other derivations and various aspects of the CSE are studied in Refs. [16,17,111,[192][193][194][195][196][197][198][199][200]. We here just stress one fact that like the CME, only the lowest Landau level is responsible to the arising of CSE.…”

Section: B Chiral Separation Effect (1) What Is the Chiral Separatiomentioning

confidence: 99%

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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: B Chiral Separation Effect (1) What Is the Chiral Separatiomentioning

confidence: 99%

“…to the CME in the sense that the former is expressed from the latter by interchanging the vector and axial quantities [16,17,192]. In formula, the CSE is given by…”

Section: B Chiral Separation Effect (1) What Is the Chiral Separatiomentioning

confidence: 99%

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

2016

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“…There exist a variety of arguments in favor of -at least perturbative-non-renormalization [2,[22][23][24][25][26][27][28][29], mainly due to the fact that the anomaly coefficients are one-loop exact [17,18]. The situation however is subtle and to make a clear statement about non-renormalization one has to distinguish the two types of anomalies that we will call type I and type II [30,31].…”

Section: Jhep10(2015)058mentioning

confidence: 99%

Horizon universality and anomalous conductivities

Gürsoy

Tarrío

2015

J. High Energ. Phys.

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We show that the value of chiral conductivities associated with anomalous transport is universal in a general class of strongly coupled quantum field theories that admit a gravitational holographic dual in the large N limit. Our result only applies to theories in the presence of external gauge fields with no dynamical gluon fields. On the gravity side the result follows from near horizon universality of the fluctuation equations, similar to the holographic calculation of the shear viscosity.

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“…It was argued in Refs. 36,37 that non-dissipative currents in magnetized relativistic matter are determined by the topological currents induced exclusively in the LLL and are intimately connected with the chiral anomaly. This fact is directly connected with the well known result that the chiral anomaly in a magnetic field is also generated exclusively by the LLL 41 .…”

Section: Introductionmentioning

confidence: 99%

Chiral separation and chiral magnetic effects in a slab: The role of boundaries

et al. 2015

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We study the chiral separation and chiral magnetic effects in a slab of Dirac semimetal of finite thickness, placed in a constant magnetic field perpendicular to its surfaces. We utilize the Bogolyubov boundary conditions with a large Dirac mass (band gap) outside the slab. We find that, in a finite thickness slab, the axial current density is induced by helicity-correlated standing waves and, as a consequence, is quantized. The quantization is seen in its stepped-shape dependence on the fermion chemical potential and a sawtooth-shape dependence on the thickness of the slab. In contrast to a naive expectation, there is no chiral charge accumulation anywhere in the bulk or at the boundaries of the semimetal. In the same slab geometry, we also find that a nonzero chiral chemical potential induces no electric current, as might have been expected from the chiral magnetic effect. We argue that this outcome is natural and points to the truly non-static nature of the latter. By taking into account a nonzero electric field of double layer near the boundaries of the slab, we find that the low-energy modes under consideration satisfy the continuity equation for axial current density without the anomalous term.

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Response of strongly interacting matter to a magnetic field: Some exact results

Cited by 94 publications

References 14 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

Horizon universality and anomalous conductivities

Chiral separation and chiral magnetic effects in a slab: The role of boundaries

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