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arXiv 1503.01878astro-ph.COhep-phphysics.plasm-ph
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具有Berry曲率的原初磁场和动力学理论

Primordial magnetic field and kinetic theory with Berry curvature

Jitesh R. Bhatt, Arun Kumar Pandey

摘要:

本文研究了在温度$T>80$ ~TeV远高于电弱标度的条件下,标准模型粒子的原始等离子体中磁场的产生.假设在等离子体中,右手电子的数量超过左手正电子的数量。利用Berry曲率修正的动力学理论,将阿贝尔异常的影响,我们表明,这种手征的不平衡导致产生超磁场的等离子体中的碰撞为主和无碰撞制度。结果表明,在碰撞主导区,手征涡效应可以与磁场一起在等离子体中产生有限涡。所产生的磁场的典型强度为$10^{27}$ ~高斯,$T\sim 80$ ~TeV,长度尺度为$10^5/T$,而哈勃长度尺度为$10^{13}/T$。此外,不稳定性还可以在典型长度尺度$10/T$下产生$10^{31}$ ~高斯级的磁场。但在这种状态下可能没有任何涡量产生。我们证明了磁场的估计值与目前观测得到的边界是一致的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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