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Holographic Charged Fluid with Chiral Electric Separation Effect
High Energy Physics - Theory · Submitted 22 Mar 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally.
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The abstract, sentence by sentence
Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally. Via fluid/gravity correspondence, all the first order transport coefficients in the hydrodynamic constitutive relations are evaluated analytically: they are functions of vector chemical potential $\mu$, axial chemical potential $\mu_5$ and the fluid's temperature $T$. Apart from the proportionality factor $\mu\mu_5$, the CESE conductivity is found to be dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially. As a complementary study, frequency-dependent transport phenomena are revealed through linear response analysis, demonstrating perfect agreement with the results obtained from fluid/gravity correspondence.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. | method 0.48 | 0.58 | 0.03 | asserted 0.98 |
| s1 | When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally. | result 0.98 | 0.73 | 0.47 | asserted 1.00 |
| s2 | Via fluid/gravity correspondence, all the first order transport coefficients in the hydrodynamic constitutive relations are evaluated analytically: they are functions of vector chemical potential $\mu$, axial chemical potential $\mu_5$ and the fluid's temperature $T$. | result 0.44 | 0.94 | 0.15 | asserted 1.00 |
| s3 | Apart from the proportionality factor $\mu\mu_5$, the CESE conductivity is found to be dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially. | result 1.00 | 0.95 | 0.29 | asserted 1.00 |
| s4 | As a complementary study, frequency-dependent transport phenomena are revealed through linear response analysis, demonstrating perfect agreement with the results obtained from fluid/gravity correspondence. | result 0.74 | 0.91 | 0.10 | asserted 1.00 |
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The paper
Original abstract
Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally. Via fluid/gravity correspondence, all the first order transport coefficients in the hydrodynamic constitutive relations are evaluated analytically: they are functions of vector chemical potential $\mu$, axial chemical potential $\mu_5$ and the fluid's temperature $T$. Apart from the proportionality factor $\mu\mu_5$, the CESE conductivity is found to be dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially. As a complementary study, frequency-dependent transport phenomena are revealed through linear response analysis, demonstrating perfect agreement with the results obtained from fluid/gravity correspondence.
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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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There are also many higher order nonlinear quantum phenomena related to electromagnetic fields, e.g., the chiral electric or Hall separation effects [ref] and other effects coupled to the gradient of temperature or chemical potentials [ref] .
Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity · Chiral Anomaly and Magnetic Effect · 0.93
What it cites · 89 sentences without a confident label
Uses the method or tool of 5 papers
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Following the standard procedure of fluid/gravity correspondence [ref] , we make a Lorenz boost transformation for the static solution ([ref]) along the boundary coordinates [equation] $L^μ_ν$ is the Lorentz boost matrix, which has been parameterized via a four-velocity $u_μ$.
Nonlinear Fluid Dynamics from Gravity · Set Up the Fluid/Gravity Calculations · 0.99
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Following the standard procedure of fluid/gravity correspondence [ref] , we make a Lorenz boost transformation for the static solution ([ref]) along the boundary coordinates [equation] $L^μ_ν$ is the Lorentz boost matrix, which has been parameterized via a four-velocity $u_μ$.
Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions · Set Up the Fluid/Gravity Calculations · 0.99
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One key procedure of fluid/gravity correspondence is to promote the constant parameters in ([ref]) to arbitrary functions of boundary coordinates [ref] , [equation] Then, these nontrivial functions $M(x),Q(x),(x),u_μ(x)$ and $^_μ(x)$ are identified as the fluid-dynamical variables and external source of the dual field theory.
Hydrodynamics with conserved current from the gravity dual · Set Up the Fluid/Gravity Calculations · 0.94
Compares with 5 papers
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Particularly, $$ was found to be positive for the models in [ref] , but it is shown to be negative from present study [ref].
Axial Current Generation from Electric Field: Chiral Electric Separation Effect · Summary of the results · 0.82
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On the other hand, in comparison with relevant works [ref] , we express $$ and $$ as functions of chemical potentials $μ,μ_5$ and fluid temperature $T$, as summarized in [ref].
Holographic Chiral Electric Separation Effect · First-Order Charged Fluid: CESE and Other Conductivities · 0.82
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On the other hand, in comparison with relevant works [ref] , we express $$ and $$ as functions of chemical potentials $μ,μ_5$ and fluid temperature $T$, as summarized in [ref].
Chiral Hall Effect and Chiral Electric Waves · First-Order Charged Fluid: CESE and Other Conductivities · 0.82
Cites as background 34 papers
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We consider $(4+1)$-dimensional Einstein gravity with a negative cosmological constant $Λ=-6/L^2$ in the bulk, which is coupled to $U(1)_V×U(1)_A$ gauge fields (see, e.g., [ref] ).
Holographic Anomalous Conductivities and the Chiral Magnetic Effect · Holographic Model for Fluid with $U(1)_V×U(1)_A$ Currents · 0.95
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We consider $(4+1)$-dimensional Einstein gravity with a negative cosmological constant $Λ=-6/L^2$ in the bulk, which is coupled to $U(1)_V×U(1)_A$ gauge fields (see, e.g., [ref] ).
Anomalous transport from holography: Part I · Holographic Model for Fluid with $U(1)_V×U(1)_A$ Currents · 0.95
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For a rotating hydrodynamic flow, chiral anomaly induces a vector current along the fluid vorticity, $J⃗=1/2ξ∇⃗×u⃗$, which is called the chiral vortical effect (CVE) [ref] .
Hydrodynamics with Triangle Anomalies · Introduction · 0.94
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