论文标题

Quantum Rabi模型是否可以避免自发Susy破裂的无关定理?

Can quantum Rabi model with A^2-term avoid no-go theorem for spontaneous SUSY breaking?

论文作者

Hirokawa, Masao

论文摘要

层次结构问题询问为什么希格斯粒子的质量比普朗克级质量轻得多。考虑到希格斯粒子的相互作用和普朗克尺度中的基本粒子,为了应对这一巨大差异,传统的计算需要任意,过度的微调,即裸露的质量项和量子校正之间的巨大取消,而无需遵守诸如symmetrys symmetrys symmetry。因此,通常被认为是不自然的。另一方面,超对称理论(SUSY)是解决层次结构问题的自然候选人。但是,即使对于量子力学(QM)版本,SUSY的任何迹象都没有牢固,直到Cai等人在物理现实中直接观察到。报道了n = 2 SUSY的观察及其在被困的离子量子模拟器中的自发断裂,用于SUSY QM的原型模型。在此讨论中,我对自发的SUSY在量子狂犬模型的强耦合极限的情况下得出了一个无关定理,与A^2-期有关,与此同时,我同时显示了Cai等人在该方案中提出的另一个限制。可以避免无关定理,并将该模型从n = 2 susy带到自发性破裂。我提出了一种理论方法,可以观察自发的Susy Breaking中A^2-期的效果如何出现。

The hierarchy problem asks why the mass of the Higgs particle is so much lighter than the Planck-scale mass. Considering the interaction of the Higgs particle and an elementary particle in the Planck-scale, to cope with that big difference, the conventional calculation needs the help of an arbitrary, excessive fine-tuning, that is, the huge cancellation between the bare mass term and the quantum correction, without obeying a physical principle such as symmetry. Thus, it is often said to be unnatural. On the other hand, the theory of supersymmetry (SUSY) is a strong candidate naturally to solve the hierarchy problem. However, any sign of SUSY even for the quantum mechanics (QM) version had not been firmly, directly observed in the physical reality until Cai et al. reported the observation of N=2 SUSY and its spontaneous breaking in a trapped ion quantum simulator for the prototype model for SUSY QM. In this discussion, I derive a no-go theorem for the spontaneous SUSY breaking in the strong coupling limit for the quantum Rabi model with the A^2-term, and at the same time, I show another limit proposed in the scheme by Cai et al. can avoid the no-go theorem and take that model from the N=2 SUSY to its spontaneous breaking. I propose a theoretical method to observe how the effect of A^2-term appears in the spontaneous SUSY breaking.

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