论文标题
庞加莱的一些非平凡方面和风味真空的CPT不变性
Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
论文作者
论文摘要
我们研究了两种量表标量模型，研究庞加莱的明确形式和风味状态的离散转换，这代表了场混合的最简单例子。由于风味真空冷凝物的特殊形式，我们发现上述对称性被自发损坏。随之而来的真空稳定性组与E（3）欧几里得组确定。在Fabri-Picasso定理的帮助下，我们表明具有不同时间标签的风味真空，在不同的Lorentz框架中，彼此之间是单期不相等的，它们构成了零味的含量。尽管庞加莱和CPT对称性的自发崩溃是这种真空的特征，但我们仍为缺乏金石玻色子提供了争论。我们还证明，在这些转换下，现象学上相关的振荡公式是不变的。
We study the explicit form of Poincaré and discrete transformations of flavor states in a two-flavor scalar model, which represents the simplest example of the field mixing. Because of the particular form of the flavor vacuum condensate, we find that the aforementioned symmetries are spontaneously broken. The ensuing vacuum stability group is identified with the Euclidean group E(3). With the help of Fabri-Picasso theorem, we show that flavor vacua with different time labels and in different Lorentz frames are unitarily inequivalent to each other and they constitute a manifold of zero-flavor-charge states. Despite the spontaneous breakdown of Poincaré and CPT symmetries that characterises such vacua, we provide arguments on the absence of Goldstone Bosons. We also prove that the phenomenologically relevant oscillation formula is invariant under these transformations.
