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arXiv 2005.07758hep-phhep-th
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可分辨粒子间多粒子诱导干涉的中微子振荡

Neutrino oscillations as many-particle induced interference between distinguishable particles

Alejandro Cabo Montes de Oca, Nana Geraldine Cabo Bizet

摘要:

我们研究了中微子振荡的奇怪性质的原因,即看起来像是完全可区分的粒子之间的干涉。这种效应的来源被认为是由量子场论的态空间的多粒子性质所决定的。首先强调,为了解释观测到的振荡,中微子态子空间不应被解释为三个中微子Fock空间的直积,这相当于强加了一个超选择规则。此外,有人认为,这种直接的产品空间的状态的线性完成允许描述所测量的振荡。因此,标准模型(SM)的态空间应被解释为与可区分粒子相关的所有Fock空间(玻色子或费米子空间)的直积的线性完备化。因此,中微子振荡被确定为独立粒子之间的干涉,这是由中微子Fock空间的直积之外的状态产生的。这种解释似乎意味着在粒子物理学和凝聚态物理中可区分的粒子之间存在大量的干涉观测。为了使讨论更清楚,我们在两个相对论自由大质量中微子的简单量子场论(QFT)模型的框架下进行讨论。

英文摘要:

We investigate the causes of the curious property of neutrino oscillations of looking as an interference between fully distinguishable particles. The sources of this effect are identified as to be determined by the many particle nature of space of states of the quantum field theory. It is firstly underlined that in order to explain the observed oscillations, the neutrino subspace of states should not be interpreted as the direct product of the three neutrinos Fock spaces, which is equivalent to imposing a superselection rule. Further, it is argued that the linear completion of such a direct product space of states permits to describe the measured oscillations. Thus, the space of states of te Standard Model (SM) should be interpreted as the linear completion of the direct product of all the Fock spaces (boson or fermions ones) associated to the distinguishable particles. Then, it follows that the neutrino oscillations are determined as interference between independent particles, which are generated by states being outside the direct product of the neutrino Fock spaces. This interpretation seems to imply a large amount of interference observations between distinguishable particles in Particle as well as in Condensed Matter Physics. For seeking clearness, the discussion is done in the framework of a simple Quantum Field Theory (QFT) model of two relativistic free massive neutrinos.

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