狄拉克中微子单粒子态的小群发生器
Little group generators for Dirac neutrino one-particle states
摘要：
假设中微子是狄拉克型的，一个粒子态的小群生成元，由场算符产生的真空，得到的条款，无论是在单粒子态本身和条款的创建/湮灭运营商。结果表明，这些发电机也作为旋转运营商在希尔伯特空间的状态，提供三种类型的转换：螺旋翻转，标准电荷共轭，和两者的组合，最多的阶段。详细介绍了这些变换的性质，并讨论了它们的物理意义。它还表明，一个变换继续保持手征场不混合。
英文摘要：
Assuming neutrinos to be of the Dirac type, the little group generators for the one-particle states, created off the vacuum by the field operator, are obtained, both in terms of the one-particle states themselves and in terms of creation/annihilation operators. It is shown that these generators act also as rotation operators in the Hilbert space of the states, providing three types of transformations: a helicity flip, the standard charge conjugation, and a combination of the two, up to phases. The transformations' properties are provided in detail and their physical implications discussed. It is also shown that one of the transformations continues to hold for chiral fields without mixing them.
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