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Chiral gravitational effect in time-dependent backgrounds
High Energy Physics - Phenomenology · Submitted 1 Apr 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the non-trivial time dependence of chiral chemical potential, which can be induced in some scenarios of baryogenesis, is the key ingredient of the chiral gravitational effect.
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The abstract, sentence by sentence
Gravitational counterpart of the chiral magnetic effect, which is referred as the chiral gravitational effect, can also be of interest in a cosmological setup. In this study, we investigate this effect in the time-dependent chiral asymmetric fermion background and in the expanding spacetime by formulating the effective action of gravitational waves. We also analyze the anomaly equation to see how the backreaction from gravitational waves to thermal chiral plasma occurs. We find that the non-trivial time dependence of chiral chemical potential, which can be induced in some scenarios of baryogenesis, is the key ingredient of the chiral gravitational effect. It turns out that the "memory" of the effect is imprinted on the high frequency gravitational waves propagating in the plasma. Cosmological implications and potential effects on the gravitational wave observation are briefly discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Gravitational counterpart of the chiral magnetic effect, which is referred as the chiral gravitational effect, can also be of interest in a cosmological setup. | background 1.00 | 0.05 | 0.04 | hedged possibility 0.91 |
| s1 | In this study, we investigate this effect in the time-dependent chiral asymmetric fermion background and in the expanding spacetime by formulating the effective action of gravitational waves. | contribution 0.86 | 0.93 | 0.05 | asserted 0.95 |
| s2 | We also analyze the anomaly equation to see how the backreaction from gravitational waves to thermal chiral plasma occurs. | method 0.72 | 0.90 | 0.04 | asserted 0.61 |
| s3 | We find that the non-trivial time dependence of chiral chemical potential, which can be induced in some scenarios of baryogenesis, is the key ingredient of the chiral gravitational effect. | result 0.96 | 0.94 | 0.75 | asserted 1.00 |
| s4 | It turns out that the "memory" of the effect is imprinted on the high frequency gravitational waves propagating in the plasma. | result 0.92 | 0.88 | 0.27 | asserted 1.00 |
| s5 | Cosmological implications and potential effects on the gravitational wave observation are briefly discussed. | interpretation 0.58 | 0.58 | 0.03 | unclear 0.48 |
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The paper
Original abstract
Gravitational counterpart of the chiral magnetic effect, which is referred as the chiral gravitational effect, can also be of interest in a cosmological setup. In this study, we investigate this effect in the time-dependent chiral asymmetric fermion background and in the expanding spacetime by formulating the effective action of gravitational waves. We also analyze the anomaly equation to see how the backreaction from gravitational waves to thermal chiral plasma occurs. We find that the non-trivial time dependence of chiral chemical potential, which can be induced in some scenarios of baryogenesis, is the key ingredient of the chiral gravitational effect. It turns out that the "memory" of the effect is imprinted on the high frequency gravitational waves propagating in the plasma. Cosmological implications and potential effects on the gravitational wave observation are briefly discussed.
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References
How the literature uses it
8 arXiv papers cite this in 10 sentences
Papers citing it · 5 sentences without a confident label
Cites it as support 1 paper
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(Too large $μ_5$ causes an apparent catastrophic ghost-like instability, which would not be physical but suggests at least breakdown of the EFT.) For time-dependent $μ_5$, a difference in the dispersion relation between the right- and left-handed polarization modes causes an oscillatory memory effect in the time dependence of the $μ_5$ due to the change of $μ_5$ induced by the chirality-flipping interaction or the dilution due to the cosmic expansion [ref] .
Chiral effects in astrophysics and cosmology · Chiral gravitational waves · 0.97
Cites it as background 4 papers
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In contrast to primordial scalar perturbations, primordial GWs possess a distinct characteristic, namely, chirality, which can be manifested in parity-violating theories of gravity in the primordial Universe, see e.g. [ref] for some of the recent studies, see also [ref] .
Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition · Introduction · 0.86
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In the context of the early Universe, mechanisms that generate such parity violating gravitational waves have been discussed for instance in relation to pseudoscalar (or axion) inflation models with the gravitational topological coupling $φR_μναβ R̃^μναβ$ [ref] or gauge topological coupling $φF_μν F̃^μν$ [ref] and its non-Abelian version [ref] , the existence of chiral fermions [ref] , the helical magnetic field [ref] due to the chiral plasma instability [ref] , and helical turbulence [ref] .
Chiral gravitational waves from thermalized neutrinos in the early Universe · Introduction · 0.99
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Parity-violating theories are recently receiving increasing attention for their role in modern physics topics such as CMB polarization [ref] , gravitational waves [ref] , baryon asymmetry problem [ref] and black hole perturbations [ref] .
Landau damping for gravitational waves in parity-violating theories · Introduction · 0.95
What it cites · 72 sentences without a confident label
Uses the method or tool of 2 papers
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The analysis is based on the gravitational response function derived in literature [ref] .
Thermodynamics, gravitational anomalies and cones · Chiral gravitational effect in a dynamical background · 0.86
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The analysis is based on the gravitational response function derived in literature [ref] .
Parity violating gravitational response and anomalous constitutive relations · Chiral gravitational effect in a dynamical background · 0.86
Compares with 5 papers
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The term proportional to $μ_5$ in Eq. [ref] actually coincides with the one derived in the previous study [ref] in the static limit of the gravitational field.
Parity violating gravitational response and anomalous constitutive relations · Chiral gravitational effect in a dynamical background · 1.00
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This behavior is quite different from the electromagnetic case where the chiral plasma instability is caused by the non-zero chemical potential itself but not its time variation [ref] .
Chiral Plasma Instabilities · Propagation of gravitational waves · 0.99
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This behavior is quite different from the electromagnetic case where the chiral plasma instability is caused by the non-zero chemical potential itself but not its time variation [ref] .
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly · Propagation of gravitational waves · 0.99
Cites as background 43 papers
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The chiral gravitational effect in a static thermal background has been studied in Ref. [ref] , where the authors particularly focused on the anomalous corrections to the dispersion relation and studied the properties of the corrections in various limits of parameters.
Chiral Anomalous Dispersion · Chiral gravitational effect in a dynamical background · 0.80
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In the case of chiral gravitational effect, the graviton (the transverse and traceless part of the metric perturbation) receives parity-violating vacuum polarization from the chiral asymmetry in the system, which leads to the anomalous contribution to the energy momentum tensor.[See also Ref. [ref] for the study on the chiral gravitational effect from the holographic point of view.] Note that parity-violating effect is ascribed to the “gravitational (chiral) anomaly” [ref] [The chiral vortical effect partially originates from the gravitational chiral anomaly on the vector part of the metric perturbation [ref] .] in this case.
Gravitational Anomaly and Transport · Introduction · 0.92
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In the case of chiral gravitational effect, the graviton (the transverse and traceless part of the metric perturbation) receives parity-violating vacuum polarization from the chiral asymmetry in the system, which leads to the anomalous contribution to the energy momentum tensor.[See also Ref. [ref] for the study on the chiral gravitational effect from the holographic point of view.] Note that parity-violating effect is ascribed to the “gravitational (chiral) anomaly” [ref] [The chiral vortical effect partially originates from the gravitational chiral anomaly on the vector part of the metric perturbation [ref] .] in this case.
Chiral transport in curved spacetime via holography · Introduction · 0.92
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