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Primordial magnetic field and kinetic theory with Berry curvature
Cosmology and Nongalactic Astrophysics · Submitted 6 Mar 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using the Berry-curvature modified kinetic theory to incorporate the effect of the Abelian anomaly, we show that this chiral-imbalance leads to generation of hyper-magnetic field in the plasma in both the collision dominated and the collisionless regimes.
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We study the generation of magnetic field in the primordial plasma of the standard model (SM) particles at temperature $T>80$~TeV much higher than the electroweak scale. It is assumed that there is an excess number of right-handed electrons over left-handed positrons in the plasma. Using the Berry-curvature modified kinetic theory to incorporate the effect of the Abelian anomaly, we show that this chiral-imbalance leads to generation of hyper-magnetic field in the plasma in both the collision dominated and the collisionless regimes. It is shown that in the collision dominated regime the chiral-vorticity effect can generate finite vorticity in the plasma together with the magnetic field. Typical strength of the generated magnetic field is $10^{27}$~Gauss at $T\sim 80$~TeV with the length scale $10^5/T$ whereas the Hubble length scale is $10^{13}/T$. Further the instability can also generate the magnetic field of order $10^{31}$~Gauss at typical length scale $10/T$. But there may not be any vorticity generation in this regime. We show that the estimated values of the magnetic field are consistent with the bounds obtained from present observations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the generation of magnetic field in the primordial plasma of the standard model (SM) particles at temperature $T>80$~TeV much higher than the electroweak scale. | contribution 0.81 | 0.80 | 0.05 | asserted 0.87 |
| s1 | It is assumed that there is an excess number of right-handed electrons over left-handed positrons in the plasma. | background 0.55 | 0.09 | 0.02 | asserted 0.87 |
| s2 | Using the Berry-curvature modified kinetic theory to incorporate the effect of the Abelian anomaly, we show that this chiral-imbalance leads to generation of hyper-magnetic field in the plasma in both the collision dominated and the collisionless regimes. | contribution 0.62 | 0.94 | 0.68 | asserted 1.00 |
| s3 | It is shown that in the collision dominated regime the chiral-vorticity effect can generate finite vorticity in the plasma together with the magnetic field. | result 0.99 | 0.90 | 0.11 | asserted 0.99 |
| s4 | Typical strength of the generated magnetic field is $10^{27}$~Gauss at $T\sim 80$~TeV with the length scale $10^5/T$ whereas the Hubble length scale is $10^{13}/T$. | result 1.00 | 0.87 | 0.14 | asserted 0.98 |
| s5 | Further the instability can also generate the magnetic field of order $10^{31}$~Gauss at typical length scale $10/T$. | result 1.00 | 0.88 | 0.15 | hedged possibility 0.76 |
| s6 | But there may not be any vorticity generation in this regime. | result 0.86 | 0.69 | 0.04 | hedged possibility 1.00 |
| s7 | We show that the estimated values of the magnetic field are consistent with the bounds obtained from present observations. | interpretation 0.74 | 0.86 | 0.29 | hedged possibility 0.52 |
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Original abstract
We study the generation of magnetic field in the primordial plasma of the standard model (SM) particles at temperature $T>80$~TeV much higher than the electroweak scale. It is assumed that there is an excess number of right-handed electrons over left-handed positrons in the plasma. Using the Berry-curvature modified kinetic theory to incorporate the effect of the Abelian anomaly, we show that this chiral-imbalance leads to generation of hyper-magnetic field in the plasma in both the collision dominated and the collisionless regimes. It is shown that in the collision dominated regime the chiral-vorticity effect can generate finite vorticity in the plasma together with the magnetic field. Typical strength of the generated magnetic field is $10^{27}$~Gauss at $T\sim 80$~TeV with the length scale $10^5/T$ whereas the Hubble length scale is $10^{13}/T$. Further the instability can also generate the magnetic field of order $10^{31}$~Gauss at typical length scale $10/T$. But there may not be any vorticity generation in this regime. We show that the estimated values of the magnetic field are consistent with the bounds obtained from present observations.
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References
How the literature uses it
7 arXiv papers cite this in 9 sentences
Papers citing it · 1 sentence without a confident label
Cites it as support 1 paper
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Clearly, for $k<ξ^B$ there will be instability in the plasma and modes will grow exponentially [ref] and for $k ≈ξ^B/2$, mode will grow maximally.
Origin and dynamics of the Primordial Magnetic field in a parity violating plasma · Chiral magnetohydrodynamics with first order viscous terms · 0.96
Cites it as background 6 papers
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(See also other studies of baryogenesis and magnetic fields [ref] .) From the chiral anomaly, baryon asymmetry can be generated if there exists a time-varying helicity of the hypermagnetic fields.
Large-scale magnetic fields can explain the baryon asymmetry of the Universe · Introduction · 0.80
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We assume that, due to some early Universe process, tangled magnetic fields were present at a sufficiently large length scale after the recombination era [ref] .
Baryon-Dark matter interaction in presence of magnetic fields in light of EDGES signal · Primordial magnetic fields after the recombination era · 0.81
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A number of scenarios of generation of seed magnetic fields have been suggested in literature such as generation during inflation [ref] , phase transitions [ref] , recombination, reionization and structure formation [ref] .
Constraining models of Inflationary Magnetogenesis with NANOGrav · Introduction · 0.98
What it cites · 7 sentences without a confident label
Uses data or values from 2 papers
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The upper and lower bounds on the present observed magnetic field strength from PLANCK 2015 results [ref] and blazars [ref] are between $10^-17 G -10^-9 G$.
Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars · Results and discussion · 0.96
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The upper and lower bounds on the present observed magnetic field strength from PLANCK 2015 results [ref] and blazars [ref] are between $10^-17 G -10^-9 G$.
Planck 2015 results. XIX. Constraints on primordial magnetic fields · Results and discussion · 0.96
Cites as background 2 papers
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Understanding the origin and dynamics of the primordial magnetic field is one of the most intriguing problems of the cosmology (see the recent reviews [ref] ).
The First Magnetic Fields · Introduction · 1.00
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It should be noted here that there still exists a possibility that the fields may not be of primordial origin but might be created during the gravitational collapse of galaxies [ref] .
Magnetic fields during primordial star formation · Introduction · 0.91
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