Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field

Gorbar, É. V.; Miransky, V. A.; Shovkovy, Igor

doi:10.1103/physrevc.80.032801

Cited by 63 publications

(167 citation statements)

References 45 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%

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%

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

2016

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“…Furthermore, as shown in Refs. 38,42,44 , the chiral shift ∆ is responsible for an additional contribution to the axial current density. Also, such a dynamically generated chiral shift splits each Dirac node into a pair of Weyl nodes of opposite chirality, thus producing a Weyl semimetal from a Dirac one 45 .…”

Section: Introductionmentioning

confidence: 99%

“…The first studies of interaction effects on the chiral asymmetry of relativistic matter in a magnetic field were performed in Refs. 38,42,43 by using Nambu-Jona-Lasinio models with local interaction. In particular, it was found that the interaction unavoidably generates a chiral shift ∆ 38,42 when the fermion density is nonzero.…”

Section: Introductionmentioning

confidence: 99%

“…38,42,43 by using Nambu-Jona-Lasinio models with local interaction. In particular, it was found that the interaction unavoidably generates a chiral shift ∆ 38,42 when the fermion density is nonzero. It enters the effective Lagrangian density through the following quadratic term: ∆ψγ 3 γ 5 ψ, when the magnetic field is directed along the z direction.…”

Section: Introductionmentioning

confidence: 99%

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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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“…The motivation behind this study is the possibilty of creating ultra strong magnetic fields in non central collisions at RHIC and LHC which are estimated to be of hadronic scale [1,2] of the order of eB ∼ 2m 2 π (m 2 π ≃ 10 18 Gauss) at RHIC, to about eB ∼ 15m 2 π at LHC [2]. The studies of the effect of magnetic field on the vacuum structure of QCD has indicated that magnetic field acts as a catalyser of chiral symmetry breaking (CSB) [3,4]. On the other hand, it has been argued recently that there is an inverse magnetic catalysis at finite baryon chemical potential [5].…”

Section: Introductionmentioning

confidence: 99%

Chiral symmety breaking in 3-flavor Nambu-Jona Lasinio model in magnetic background

Chatterjee

Mishra²,

Mishra³

2011

Nuclear Physics A

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Effect of magnetic field on chiral symmetry breaking in a 3-flavor Nambu Jona Lasinio (NJL) model at finite temperature and densities is considered here using an explicit structure of ground state in terms of quark and antiquark condensates. While at zero chemical potential and finite temperature, magnetic field enhances the condensates, at zero temperature, the critical chemical potential decreases with increasing magnetic field.

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Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field

Cited by 63 publications

References 45 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

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

Chiral symmety breaking in 3-flavor Nambu-Jona Lasinio model in magnetic background

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