从PTOLEMY实验推断非对易性的类型和尺度
Inferring type and scale of noncommutativity from the PTOLEMY experiment
摘要：
如果中微子是狄拉克粒子，并且它们的右手成分可以在早期宇宙中大量产生，那么它们可能会影响对宇宙中微子背景的直接观察，这很可能会在最近提出的PIMMY实验中实现。对于右手中微子的产生机制，我们采用了时空非对易变形的规范场理论的最新版本，不仅揭示了上述中微子成分的退耦温度，而且还揭示了隐藏的耦合温度。考虑两个相关的过程，等离子体衰变和中微子弹性散射，我们研究的非对易性参数$θ^{μν}$（类型的非对易性）的结构和再加热温度之间的相互作用后，膨胀，以获得否则难以捉摸的上限上的非对易性$Λ_{\rm NC}$的规模。如果PIMMY增强的捕获率是由于时空的非对易性，我们验证了一个非平凡的最大上限$Λ_{\rm NC}$（低于普朗克尺度的方式）出现的空间一样的$θ^{μν}$和足够高的再加热温度。
英文摘要：
If neutrinos are Dirac particles and their right-handed component can be copiously produced in the early universe, then they could influence a direct observation of the cosmic neutrino background, which, most likely, will come about with the recently proposed PTOLEMY experiment. For the production mechanism of right-handed neutrinos we use a state-of-the-art version of gauge field theory deformed by the spacetime noncommutativity, to disclose by it not only the decoupling temperature for the said neutrino component, but also the otherwise hidden coupling temperature. Considering two relevant processes, the plasmon decay and the neutrino elastic scattering, we study the interplay between the structure of the noncommutativity parameter $θ^{μν}$ (type of noncommutativity) and the reheating temperature after inflation to obtain otherwise elusive upper bound on the scale of noncommutativity $Λ_{\rm NC}$. If PTOLEMY enhanced capture rate is due to spacetime noncommutativity, we verify that a nontrivial maximum upper bound on $Λ_{\rm NC}$ (a way below the Planck scale) emerges for a space-like $θ^{μν}$ and sufficiently high reheating temperature.
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