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arXiv 1101.4012gr-qcastro-ph.COhep-th
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物质-反物质不对称性与来自挠率的暗物质

Matter-antimatter asymmetry and dark matter from torsion

Nikodem J. Poplawski

摘要:

我们提出了一个简单的方案来解释观测到的物质-反物质不平衡和宇宙中暗物质的起源。我们使用爱因斯坦-嘉当-夏玛-基布尔引力理论,它自然地扩展了广义相对论,使之包括物质的内在自旋。在经典的狄拉克方程中,由自旋产生的时空挠率产生了在旋量场中为立方的Hehl-Datta项。我们表明,在电荷共轭变换下,这一项相对于质量项改变符号。因此,经典狄拉克旋量和它的电荷共轭满足不同的场方程。存在挠率的费米子比反费米子具有更高的能级,这导致它们的衰变不对称性。这种差异只有在非常早期宇宙中存在的极高密度下才有意义。我们认为,这种差异导致了一种机制,根据这种机制,存在于这样一个宇宙中并携带重子数的重费米子大多衰变为正常物质,而它们的反粒子大多衰变为隐藏的反物质,形成暗物质。宇宙的守恒重子总数仍然为零。

英文摘要:

We propose a simple scenario which explains the observed matter-antimatter imbalance and the origin of dark matter in the Universe. We use the Einstein-Cartan-Sciama-Kibble theory of gravity which naturally extends general relativity to include the intrinsic spin of matter. Spacetime torsion produced by spin generates, in the classical Dirac equation, the Hehl-Datta term which is cubic in spinor fields. We show that under a charge-conjugation transformation this term changes sign relative to the mass term. A classical Dirac spinor and its charge conjugate therefore satisfy different field equations. Fermions in the presence of torsion have higher energy levels than antifermions, which leads to their decay asymmetry. Such a difference is significant only at extremely high densities that existed in the very early Universe. We propose that this difference caused a mechanism, according to which heavy fermions existing in such a Universe and carrying the baryon number decayed mostly to normal matter, whereas their antiparticles decayed mostly to hidden antimatter which forms dark matter. The conserved total baryon number of the Universe remained zero.

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