论文标题
RGUP对自发对称性破坏的非线性klein-gordon模型的影响
Effect of RGUP on the nonlinear Klein-Gordon model with spontaneous symmetry breaking
论文作者
论文摘要
在相对论广义不确定性原理（RGUP）的框架中，我们以$ ϕ^4 $自我交流来研究非线性klein-gordon领域。这种概括来自预测最小可测量长度尺度的量子重力理论。量子重力效应稍微改变了动量，并改变了田间的拉格朗日密度。该模型，特别是在自发对称性破坏的背景下，是如此富有成果，使我们进入了许多有趣的现象。由于随之而来的方程式的复杂性，通常通过扰动机制研究模型。但是，在这里，我们采用了广义$ tanh $ - 方法，认为现场解决方案应为$ sech $ - 空间和时间细分市场。通过这种扩展方法，我们发现了一些有关以前的工作\ cite {mir1}的更通用的解决方案。可以找到几种解决方案，但我们仅选择可正常的和有界的孤立场。每个场溶液的能量光谱以分析形式获得并讨论。通过使用希格斯玻色子质量的剩余能量来估计相应的RGUP的修改参数。
In the framework of the relativistic generalized uncertainty principle (RGUP), we study the nonlinear Klein-Gordon field with $ϕ^4$ self-interaction. This generalization comes from the quantum gravity theories that predict the existence of a minimal measurable length scale. The quantum gravity effects slightly modify the momentum and change the Lagrangian density of the field. This model, specifically in the context of spontaneous symmetry breaking, is so fruitful and leads us to many interesting phenomena. Due to the complexity of the consequent equations, the model is normally studied via perturbation mechanisms. However, here, we apply a generalized $tanh$-method which supposed that the field solutions should be $sech$-functions of segments of space and time. By this extended method, we find some more general solutions with respect to our previous work \cite{Mir1}. Several solutions can be found but we select only the normalizable and bounded solitary fields. The energy spectrum of each field solution is obtained in an analytical form and discussed. The modification parameter of the corresponding RGUP is estimated by using the rest energy of the mass of the Higgs boson.
