The chiral magnetic effect in hydrodynamical approach

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   Chiral Magnetic Effect in Hydrodynamic Approximation

   V. Zakharov · 2012 · Lecture Notes in Physics · cited 68 times · Not summarized yet

   Abstract

   We review derivations of the chiral magnetic effect (ChME) in hydrodynamic approximation. The reader is assumed to be familiar with the basics of the effect. The main challenge now is to account for the strong interactions between the constituents of the fluid. The main result is that the ChME is not renormalized: in the hydrodynamic approximation it remains the same as for non-interacting chiral fermions moving in an external magnetic field. The key ingredients in the proof are general laws of thermodynamics and the Adler-Bardeen theorem for the chiral anomaly in external electromagnetic fields. The chiral magnetic effect in hydrodynamics represents a macroscopic manifestation of a quantum …

2. Very close Cited by this paper Not relevant

   Chiral magnetic effect

   K. Fukushima, D. Kharzeev, Harmen J. Warringa · 2008 · Physical Review D · cited 1,543 times · Not summarized yet

   Abstract

   Topological charge changing transitions can induce chirality in the quark-gluon plasma by the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a situation to an external magnetic field. To mimic the effect of the topological charge changing transitions we will introduce a chiral chemical potential. We will show that an electromagnetic current is generated along the magnetic field. This is the chiral magnetic effect. We compute the magnitude of this current as a function of magnetic field, chirality, temperature, and baryon chemical potential.

3. Very close Cites this paper Not relevant

   Chiral magnetic effect and holography

   I. Kirsch, T. Kalaydzhyan · 2013 · arXiv: High Energy Physics - Theory · preprint, not peer reviewed · cited 1 time · Not summarized yet

   Abstract

   The chiral magnetic effect (CME) is a highly discussed effect in heavy-ion collisions stating that, in the presence of a magnetic field B, an electric current is generated in the background of topologically nontrivial gluon fields. We present a holographic (AdS/CFT) description of the CME in terms of a fluid-gravity model which is dual to a strongly-coupled plasma with multiple anomalous U(1) currents. In the case of two U(1) charges, one axial and one vector, the CME formally appears as a first-order transport coefficient in the vector current. We will holographically compute this coefficient at strong coupling and compare it with the hydrodynamic result. Finally, we will discuss an anisotr…

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   Induced anomalous current in relativistic hydrodynamics with chiral anomaly

   Shi Pu, Jian-hua Gao · 2012 · Central European Journal of Physics · cited 3 times · Not summarized yet

   Abstract

   We discuss the triangle anomalous hydrodynamics in the presence of an external magnetic field Bµ. Without loss of generality, we consider the case of a conserved vector current and non-conserved axial current. In order to ensure the positivity of the entropy production rate, two new terms proportional to the magnetic field Bµ and the vorticity ωµ, which are associated with the Chiral Magnetic Effect and Chiral Vortical Effect in heavy ion collisions, need to be introduced. The transport coefficients of these new terms are also determined by the entropy principle.

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   Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report

   D. Kharzeev, J. Liao, S. Voloshin et al. · 2015 · arXiv: High Energy Physics - Phenomenology · preprint, not peer reviewed · cited 744 times · Not summarized yet

   Abstract

   The interplay of quantum anomalies with magnetic field and vorticity results in a variety of novel non-dissipative transport phenomena in systems with chiral fermions, including the quark-gluon plasma. Among them is the Chiral Magnetic Effect (CME) -- the generation of electric current along an external magnetic field induced by chirality imbalance. Because the chirality imbalance is related to the global topology of gauge fields, the CME current is topologically protected and hence non-dissipative even in the presence of strong interactions. As a result, the CME and related quantum phenomena affect the hydrodynamical and transport behavior of strongly coupled quark-gluon plasma, and can be …

6. Very close Cites this paper Not relevant

   Negative magnetoresistivity in chiral fluids and holography

   K. Landsteiner, Yan Liu, Ya-Wen Sun · 2014 · Journal of High Energy Physics · cited 57 times · Not summarized yet

   Abstract

   A bstractIn four dimensions Weyl fermions possess a chiral anomaly which leads to several special features in the transport phenomena, such as the negative longitudinal magnetoresistivity. In this paper, we study its inverse, the longitudinal magnetoconductivity, in the case of a chiral anomalous system with a background magnetic field B using the linear response method in the hydrodynamic limit and from holography. Our hydrodynamic results show that in general we need to have energy, momentum and charge dissipations to get a finite DC longitudinal magnetoconductivity due to the existence of the chiral anomaly. Applying the formula that we get from hydrodynamics to the holographic system in …

7. Very close Cites this paper Not relevant

   Chiral effects in astrophysics and cosmology

   K. Kamada, N. Yamamoto, Di-Lun Yang · 2022 · Progress in Particle and Nuclear Physics · cited 65 times · Not summarized yet

   Abstract

   The microscopic quantum nature of elementary particles, chirality, leads to macroscopic phenomena like the chiral anomaly, chiral magnetic effect, and chiral plasma instability. We review recent progress of the studies of these chiral effects in high-energy astrophysics, such as pulsar kicks, magnetars, and core-collapse supernovae, and early Universe cosmology, such as the primordial magnetic field, baryogenesis, and chiral gravitational waves. We also provide a pedagogical introduction to the chiral effects and low-energy effective theories to describe them in and out of equilibrium—the chiral (magneto)hydrodynamics, chiral kinetic theory, and chiral radiation transport theory for neutrino…

8. Very close Cites this paper Not relevant

   Chiral magnetic effect in the presence of an external axial-vector field

   M. Dvornikov · 2018 · Physical Review D · cited 8 times · Not summarized yet

   Abstract

   We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the exact solution of the Dirac equation for these fermions accounting for the external fields. First, this solution was obtained for massive particles and, then, we consider the chiral limit, which is used in the anomalous current computation. We obtain that, in this situation, the anomalous current does not contain the direct contribution of the axial-vector field. This result is compared with findings of other authors.

Prior work it builds on

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   Chiral Magnetic conductivity

   D. Kharzeev, Harmen J. Warringa · 2009 · Physical Review D · cited 267 times · Not summarized yet

   Abstract

   Gluon field configurations with nonzero topological charge generate chirality, inducing P- and CP-odd effects. When a magnetic field is applied to a system with nonzero chirality, an electromagnetic current is generated along the direction of the magnetic field. The induced current is equal to the chiral magnetic conductivity times the magnetic field. In this article we will compute the chiral magnetic conductivity of a high-temperature plasma for nonzero frequencies. This allows us to discuss the effects of time-dependent magnetic fields, such as produced in heavy ion collisions, on chirally asymmetric systems.

2. Close Not relevant

   Hydrodynamics with triangle anomalies.

   Son Thanh Dam, P. Surówka · 2009 · Physical Review Letters · cited 849 times · Not summarized yet

   Abstract

   We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserved current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomaly coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy-ion collisions.

3. Related Not relevant

   Fluid dynamics of R-charged black holes

   J. Erdmenger, M. Haack, Matthias Kaminski et al. · 2008 · Journal of High Energy Physics · cited 561 times · Not summarized yet

   Abstract

   We construct electrically charged AdS5 black hole solutions whose charge, mass and boost-parameters vary slowly with the space-time coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and R-charge current up to second order. In particular, for the current we find a first order transport coefficient associated with the vorticity of the fluid.

4. Related Not relevant

   Consistent description of kinetic equation with triangle anomaly

   Shi Pu, Jian-hua Gao, Qun Wang · 2010 · Physical Review D · cited 48 times · Not summarized yet

   Abstract

   We provide a consistent description of the kinetic equation with a triangle anomaly which is compatible with the entropy principle of the second law of thermodynamics and the charge/energy-momentum conservation equations. In general an anomalous source term is necessary to ensure that the equations for the charge and energy-momentum conservation are satisfied and that the correction terms of distribution functions are compatible to these equations. The constraining equations from the entropy principle are derived for the anomaly-induced leading order corrections to the particle distribution functions. The correction terms can be determined for the minimum number of unknown coefficients in on…

5. Related* Not relevant

   Absence of higher order corrections in the anomalous axial vector divergence equation

   S. Adler, W. Bardeen · 1969 · Physical Review · cited 723 times · Not summarized yet

Papers that cite it

1. Close Uses this paper in depth Not relevant

   The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid

   N. Sadooghi, S. Tabatabaee · 2016 · New Journal of Physics · cited 11 times · Not summarized yet

   Abstract

   The effects of finite magnetization and electric polarization on dissipative and non-dissipative (anomalous) transport coefficients of a chiral fluid are studied. First, using the second law of thermodynamics as well as Onsager’s time-reversal symmetry principle, the complete set of dissipative transport coefficients of this medium is derived. It is shown that the properties of the resulting shear and bulk viscosities are mainly affected by the anisotropy induced by external electric and magnetic fields. Then, using the fact that the anomaly induced currents do not contribute to entropy production, the corresponding algebro-differential equations to non-dissipative anomalous transport coeffi…

2. Close Not relevant

   Holographic gravitational anomaly and chiral vortical effect

   K. Landsteiner, E. Megías, Luis Melgar et al. · 2011 · Journal of High Energy Physics · cited 218 times · Not summarized yet

   Abstract

   We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional field theories with chiral fermions. We discuss the holographic renormalization and show that the gauge-gravitational Chern-Simons term does not induce new divergences. In order to cancel contributions from the extrinsic curvature at a boundary at finite distance a new type of counterterm has to be added however. This counterterm can also serve to make the Dirichlet problem well defined in case the gauge field strength vanishes on the boundary. A charged a…

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   Fluids, anomalies, and the chiral magnetic effect: A group-theoretic formulation

   V. P. Nair, R. Ray, Shubho R. Roy · 2011 · Physical Review D · cited 67 times · Not summarized yet

   Abstract

   It is possible to formulate fluid dynamics in terms of group-valued variables. This is particularly suited to the cases where the fluid has non-Abelian charges and is coupled to non-Abelian gauge fields. We explore this formulation further in this paper. An action for a fluid of relativistic particles (with and without spin) is given in terms of the Lorentz and Poincar\'e (or de Sitter) groups. Considering the case of particles with flavor symmetries, a general fluid action which also incorporates all flavor anomalies is given. The chiral magnetic and chiral vorticity effects as well as the consequences of the mixed gauge-gravity anomaly are discussed.

4. Close Not relevant

   The charmonium dissociation in an “anomalous wind”

   A. Sadofyev, Yi Yin · 2015 · Journal of High Energy Physics · cited 30 times · Not summarized yet

   Abstract

   A bstractWe study the charmonium dissociation in a strongly coupled chiral plasma in the presence of magnetic field and axial charge imbalance. This type of plasma carries “anomalous flow” induced by the chiral anomaly and exhibits novel transport phenomena such as chiral magnetic effect. We found that the “anomalous flow” would modify the charmonium color screening length by using the gauge/gravity correspondence. We derive an analytical expression quantifying the “anomalous flow” experienced by a charmonium for a large class of chiral plasma with a gravity dual. We elaborate on the similarity and qualitative difference between anomalous effects on the charmonium color screening length whic…

5. Close Not relevant

   Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids

   T. Kalaydzhyan, E. Murchikova · 2016 · Nuclear Physics · cited 17 times · Not summarized yet

   Abstract

   In certain circumstances, chiral (parity-violating) medium can be described hydrodynamically as a chiral fluid with microscopic quantum anomalies. Possible examples of such systems include strongly coupled quark–gluon plasma, liquid helium ^3He-A, neutron stars and the Early Universe. We study first-order hydrodynamics of a chiral fluid on a vortex background and in an external magnetic field. We show that there are two previously undiscovered modes describing heat waves propagating along the vortex and magnetic field. We call them the Thermal Chiral Vortical Wave and Thermal Chiral Magnetic Wave. We also identify known gapless excitations of density (chiral vortical and chiral magnetic wave…