一类实参数不可调的基本粒子模型
A class of elementary particle models without any adjustable real parameters
摘要：
传统的粒子理论，如标准模型，有许多可自由调整的耦合常数和质量参数，这取决于局域规范群的对称代数和旋量场和标量场的表示。似乎没有物理原理来确定这些参数，只要它们保持在重整化群规定的某些区域内。然而，这里给出的理由要求，当重力耦合到系统，局部共形不变性应该是一个自发破缺的精确对称。这个论点与要求黑洞遵守互补原理有关，该原理将进入的观测者与外部观测者联系起来，或者等价地，将初始状态与最终状态联系起来。这个条件固定了所有的参数，包括质量和宇宙学常数。我们怀疑，只有例子可以找到，这些都是一阶普朗克单位，但价值取决于所选择的代数。本文结合了前两篇预印本中的研究结果，并通过将重点转移到粒子模型的影响来更清晰地透视这些结果。
英文摘要：
Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor and scalar fields. There seems to be no physical principle to determine these parameters as long as they stay within certain domains dictated by the renormalization group. Here however, reasons are given to demand that, when gravity is coupled to the system, local conformal invariance should be a spontaneously broken exact symmetry. The argument has to do with the requirement that black holes obey a complementarity principle relating ingoing observers to outside observers, or equivalently, initial states to final states. This condition fixes all parameters, including masses and the cosmological constant. We suspect that only examples can be found where these are all of order one in Planck units, but the values depend on the algebra chosen. This paper combines findings reported in two previous preprints, and puts these in a clearer perspective by shifting the emphasis towards the implications for particle models.
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