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arXiv 1306.6530hep-phhep-thmath-phmath.MP
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强自作用极限下的标量场理论

Scalar field theory in the strong self-interaction limit

Marco Frasca

摘要:

具有经典共形不变性的标准模型有望更好地理解层次问题,并为超越标准模型的物理学铺平道路。因此,我们在这里给出一个具有强自耦合的无质量四次标量场理论的经典和量子场论的数学处理。我们使用一组经典的解决方案,最近发现,并表明存在一个无限集的红外平凡标量理论的质量差距。自由粒子叠加了一组谐振子状态。经典解通过电流展开式得到,并给出了次领先阶的量子修正。应用到标准模型中,需要希格斯粒子的更高激发态的存在,以及已经可以测量到的降低到WW和ZZ的衰变率。

英文摘要:

Standard Model with a classical conformal invariance holds the promise to give a better understanding of the hierarchy problem and could pave the way for beyond the standard model physics. So, we give here a mathematical treatment of a massless quartic scalar field theory with a strong self-coupling both classically and for quantum field theory. We use a set of classical solutions recently found and show that there exists an infinite set of infrared trivial scalar theories with a mass gap. Free particles have superimposed a harmonic oscillator set of states. The classical solution is displayed through a current expansion and the next-to-leading order quantum correction is provided. Application to the Standard Model would entail the existence of higher excited states of the Higgs particle and reduced decay rates to WW and ZZ that could be already measured.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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