论文标题
通过高阶野外理论模型的厚麸和尾巴
Thick branes via higher order field theory models with exponential and power-law tails
论文作者
论文摘要
在这项工作中，我们获得了由$ 4+1 $尺寸的$ 4+1 $尺寸的精确厚的Brane模型，灵感来自$ ϕ^{10} $和$ ϕ^{18} $模型的特定潜力。我们验证了沿第五维的大地测量方程证实了标量场对所有这些模型的brane的狭窄效应。这些模型提供了新的解决方案，并具有指数和幂律的尾巴，它们生活在不同的拓扑领域。我们表明，由特定指数定律模型的产生的麸皮不具有$ z_2 $ -symmetry。此外，我们通过确定$ w^2 $项的符号在扩展产生的Schrödinger样方程的潜力时确定厚晶体的稳定性。事实证明，$ ϕ^{10} $ brane的三个模型中的两个是稳定的，而另一个模型包含模型参数某些范围的不稳定模式。我们还表明，来自特定的$ ϕ^{18} $模型的Brane解决方案是稳定的，而其他型号涉及中性平衡。还讨论了Brane溶液的渐近行为。
In this work, we obtain exact thick brane models in $4+1$ dimensions generated by higher order field theory kinks, inspired by specific potentials for $ϕ^{10}$ and $ϕ^{18}$ models. We verify that the geodesic equation along the fifth dimension confirms the confining effects of the scalar field on the brane for all of these models. These models provide new solutions with exponential and power-law tails which live in different topological sectors. We show that the resulting branes of specific exponential law models do not possess $Z_2$-symmetry. Furthermore, we examine the stability of the thick branes, by determining the sign of the $w^2$ term in the expansion of the potential for the resulting Schrödinger-like equation. It turns out that two of the three models of the $ϕ^{10}$ brane are stable, while another contains unstable modes for certain ranges of the model parameters. We also show that the brane solution from the specific $ϕ^{18}$ models are stable, while the others involve neutral equilibrium. The asymptotic behaviour of the brane solutions are also discussed.
