论文标题

$κ$形式的复杂字段和离散对称性

$κ$-deformed complex fields and discrete symmetries

论文作者

Arzano, Michele, Bevilacqua, Andrea, Kowalski-Glikman, Jerzy, Rosati, Giacomo, Unger, Josua

论文摘要

我们提出了$κ$成型的复杂标量场理论的结构,目的是阐明离散对称性和CPT不变性的方式受到变形的影响。我们的起点是,为了在反粒子状态下对洛伦兹对称性做出适当的作用,应通过居住在de Sitter组歧管的补充上的四摩米塔来描述这些对称性。一旦从变形的动作中正确地制定了运动方程,我们就能获得粒子和反颗粒的特征,其特征是不同的质量壳约束,导致脱离CPT不变性的微妙形式。我们工作的其余部分致力于详细描述变形的庞加莱和复杂领域的离散对称性的作用。

We present a construction of $κ$-deformed complex scalar field theory with the objective of shedding light on the way discrete symmetries and CPT invariance are affected by the deformation. Our starting point is the observation that, in order to have an appropriate action of Lorentz symmetries on antiparticle states, these should be described by four-momenta living on the complement of the portion of de Sitter group manifold to which $κ$-deformed particle four-momenta belong. Once the equations of motions are properly worked out from the deformed action we obtain that particle and antiparticle are characterized by different mass-shell constraints leading to a subtle form of departure from CPT invariance. The remaining part of our work is dedicated to a detailed description of the action of deformed Poincaré and discrete symmetries on the complex field.

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