从狄拉克拉格朗日量导出标准模型相互作用的组合方法
A combinatorial derivation of the standard model interactions from the Dirac Lagrangian
摘要:
一个复合模型的标准模型粒子最近推导出使用狄拉克拉格朗日时空的时间不沿世界线的基本尘埃粒子,称为“内部时空”。内部时空几何的目的是使用(经典)简并时空度规来模拟某些量子现象。例如,在内部时空中,切空间具有可变的维度,自旋波函数坍缩可以通过从一个切空间到另一个切空间的投影来模拟。在这篇文章中,我们表明,组合结构的内部狄拉克拉格朗日产量正是标准模型三价顶点,连同两个额外的新的(纵向)Z顶点,产生四价玻色子顶点。特别地,我们能够推导出轻子和夸克的电弱宇称破缺。我们还得到了新的限制,可能发生在某些相互作用的自旋状态。最后,我们确定了模型预测的新的大质量自旋2玻色子的三价顶点。
英文摘要:
A composite model of the standard model particles was recently derived using the Dirac Lagrangian on a spacetime where time does not advance along the worldlines of fundamental dust particles, called an 'internal spacetime'. The aim of internal spacetime geometry is to model certain quantum phenomena using (classical) degenerate spacetime metrics. For example, on an internal spacetime, tangent spaces have variable dimension, and spin wavefunction collapse is modeled by the projection from one tangent space to another. In this article we show that the combinatorial structure of the internal Dirac Lagrangian yields precisely the standard model trivalent vertices, together with two additional new (longitudinal) Z vertices that generate the four-valent boson vertices. In particular, we are able to derive electroweak parity violation for both leptons and quarks. We also obtain new restrictions on the possible spin states that can occur in certain interactions. Finally, we determine the trivalent vertices of the new massive spin-2 boson predicted by the model.
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