论文标题
$κ$形式的复杂标量字段：保守的费用，对称性及其对物理观察物的影响
$κ$-deformed complex scalar field: conserved charges, symmetries and their impact on physical observables
论文作者
论文摘要
在本文中，我们重新访问了$κ$成型的复杂标量字段的模型。我们发现，该模型具有十个保守的Noether指控，这些指控形成了换向因子，是（未拟合）庞加莱代数的代表。因此，该理论是相对论的，不会破坏洛伦兹的不变性。但是，升压的时空表示不是标准的，并且包含非本地翻译，对于正和负能量模式而言不同。因此，尽管颗粒和抗粒子的质量相等，但该理论以微妙的方式违反了CPT对称性。我们解释了为什么在我们的案例中，庞加莱对称和CPT等效的对等效性的Jost-Wight-Wightman-Greenberg定理失败了。最后，我们讨论了该理论及其可能的观察性特征的现象学后果。
In this paper we revisit the model of $κ$-deformed complex scalar field. We find that this model possesses ten conserved Noether charges that form, under commutators, a representation of (undeformed) Poincaré algebra. It follows that the theory is relativistic and does not break Lorentz invariance. However the spacetime representation of boosts is not standard, and contains a non-local translation, different for positive and negative energy modes. It then follows that although the masses of particles and anti-particles are equal, the theory violates CPT symmetry in a subtle way. We explain why the Jost-Wightman-Greenberg theorem of equivalence of the Poincaré symmetry and CPT fails in our case. Finally, we discuss the phenomenological consequences of the theory and its possible observational signatures.
