Neutrino quantum kinetics

Neutrino quantum kinetics
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中微子量子动力学

DOI:
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发表时间:
2013
期刊:
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通讯作者:
V. Cirigliano
V. Cirigliano
中科院分区:
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文献类型:
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作者:
A. Vlasenko;G. Fuller;V. Cirigliano

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我们提出了一个量子动力学方程(QKEs)的公式,它控制了中微子风味在高密度和高温下的演化。在这里,qke的结构是利用基本的中微子相互作用和量子场论从头推导出来的。我们表明,当非弹性散射可以忽略不计时,所得到的qke描述了具有有效质量的相干风味演变。qke还包含一个碰撞项。当散射占主导地位,中微子有效质量和密度矩阵在相互作用基中变为对角线时,该项可简化为玻尔兹曼方程中的碰撞项。我们还发现qke包含了与中微子自旋有关的一个新的动力学量的运动方程。这个量与密度矩阵在低密度或各向同性条件下的运动方程解耦。然而,自旋运动方程允许在高密度和各向异性存在下中微子和反中微子之间相干变换的可能性。尽管在核心坍缩超新星和致密天体合并环境中存在这样的必要条件,但很可能只有在一个足够现实的模型中自洽地合并qke才能确定是否会发生显著的中微子-反中微子转换。©2014美国物理学会。
We present a formulation of the quantum kinetic equations (QKEs), which govern the evolution of neutrino flavor at high density and temperature. Here, the structure of the QKEs is derived from the ground up, using fundamental neutrino interactions and quantum field theory. We show that the resulting QKEs describe coherent flavor evolution with an effective mass when inelastic scattering is negligible. The QKEs also contain a collision term. This term can reduce to the collision term in the Boltzmann equation when scattering is dominant and the neutrino effective masses and density matrices become diagonal in the interaction basis. We also find that the QKEs include equations of motion for a new dynamical quantity related to neutrino spin. This quantity decouples from the equations of motion for the density matrices at low densities or in isotropic conditions. However, the spin equations of motion allow for the possibility of coherent transformation between neutrinos and antineutrinos at high densities and in the presence of anisotropy. Although the requisite conditions for this exist in the core collapse supernova and compact object merger environments, it is likely that only a self-consistent incorporation of the QKEs in a sufficiently realistic model could establish whether or not significant neutrino-antineutrino conversion occurs. © 2014 American Physical Society.