论文标题
狄拉克中微子一粒子状态的小组发电机
Little group generators for Dirac neutrino one-particle states
论文作者
论文摘要
假设中微子是狄拉克类型的,则根据单粒子状态本身和创建/歼灭操作员而言,获得了现场运算符在真空中创建的单粒子状态的小组发电机。结果表明,这些发电机还充当了州希尔伯特空间中的旋转算子,提供了三种类型的转换:螺旋性翻转,标准电荷共轭和两者的组合,最多是相。转换的属性详细提供了其物理含义。还表明,其中一种转化持续到手性场而不混合。
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.