Chiral Magnetic Effect on the Lattice

Yamamoto, Arata

doi:10.1007/978-3-642-37305-3_15

Cited by 6 publications

(4 citation statements)

References 49 publications

(62 reference statements)

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“…In formalism B, on the other hand, there exists a non-zero chiral magnetic effect. This seems to be more in line with recent lattice calculations [18], chiral model calculations [19] and holographic bottom-up models [20,21] for the confined chirally broken phase of QCD. However, a main shortcoming of formalism B is that the inhomogeneous phase, whose existence is indicated by our perturbative analysis, is absent in the full nonlinear theory.…”

Section: Introduction and Discussionsupporting

confidence: 88%

A chiral magnetic spiral in the holographic Sakai-Sugimoto model

Ballon-Bayona

Peeters

Zamaklar

2012

J. High Energ. Phys.

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Abstract:We investigate the effect of a magnetic field on the vacuum of lowtemperature QCD at large-N c in the presence of a chiral chemical potential, using the holographic Sakai-Sugimoto model. Above some critical chemical potential we find an instability, which triggers a decay of the homogeneous vacuum to a nonhomogeneous configuration with a spiral form, which we construct explicitly. We find that this decay is suppressed for sufficiently large magnetic field, and determine the critical strength. We find that the new vacuum does not exhibit the chiral magnetic effect. This is related to the way the chiral chemical potential is introduced. We discuss an alternative way of introducing the chiral chemical potential that leads to a nonzero chiral magnetic effect.

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Section: Introduction and Discussionsupporting

confidence: 88%

A chiral magnetic spiral in the holographic Sakai-Sugimoto model

Ballon-Bayona

Peeters

Zamaklar

2012

J. High Energ. Phys.

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“…They were reproduced in kinetic theory [476][477][478][479][480][481] and, with a varying degree of success, they were also tested in lattice simulations [164,[482][483][484][485][486][487][488][489][490]. (See, however, the recent holographic study in Ref.…”

Section: Chiral Separation and Chiral Magnetic Effectsmentioning

confidence: 99%

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

2015

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a b s t r a c tA range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed. We start by introducing the underlying physics of the magnetic catalysis. The dimensional reduction of the low-energy dynamics of relativistic fermions in an external magnetic field is explained and its role in catalyzing spontaneous symmetry breaking is emphasized. The general theoretical consideration is supplemented by the analysis of the magnetic catalysis in quantum electrodynamics, chromodynamics and quasirelativistic models relevant for condensed matter physics. By generalizing the ideas of the magnetic catalysis to the case of nonzero density and temperature, we argue that other interesting phenomena take place. The chiral magnetic and chiral separation effects are perhaps the most interesting among them. In addition to the general discussion of the physics underlying chiral magnetic and separation effects, we also review their possible phenomenological implications in heavy-ion collisions and compact stars. We also discuss the application of the magnetic catalysis ideas for the description of the quantum Hall effect in monolayer and bilayer graphene, and conclude that the generalized magnetic catalysis, including both the magnetic catalysis condensates and the quantum Hall ferromagnetic ones, lies at the basis of this phenomenon. We also consider how an external magnetic field affects the underlying physics in a class of three-dimensional quasirelativistic condensed matter systems, Dirac semimetals. While at sufficiently low temperatures and zero density of charge carriers, such semimetals are expected to reveal the regime of the magnetic catalysis, the regime of Weyl semimetals with chiral asymmetry is realized at nonzero density. Finally, we discuss the interplay between relativistic quantum field theories (including quantum electrodynamics and quantum chromodynamics) in a magnetic field and noncommutative field theories, which leads to a new type of the latter, nonlocal noncommutative field theories.

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“…More precisely a magnetic field induces a current via the chiral magnetic effect (CME) and a vortex or rotation of the fluid or gas of chiral fermions also induces a current via the chiral vortical effect (CVE) [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] (see also the recent reviews [33][34][35][36][37][38][39][40][41] ) Generalizations to arbitrary dimensions have been discussed in [42]. The hydrodynamic approach has been generalized in [43,44].…”

Section: Introductionmentioning

confidence: 99%

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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Chiral Magnetic Effect on the Lattice

Cited by 6 publications

References 49 publications

A chiral magnetic spiral in the holographic Sakai-Sugimoto model

A chiral magnetic spiral in the holographic Sakai-Sugimoto model

Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

Anomalous transport of Weyl fermions in Weyl semimetals

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