论文标题
引导量子校正到$φ^4 $扭结形式
Leading Quantum Correction to the $Φ^4$ Kink Form Factor
论文作者
论文摘要
最近，贾拉（Jarah）构建了与具有任意非依赖性标量扭结的超级媒介物的散射相关的扭结形式。然而，该公式仅应用于正弦模型，其中形状因子很久以前由Weisz使用集成性确定。在本文中，使用（1+1） - 维真实标量$φ^4 $模型和扭结波数据包构建的各种已知分析结果，我们通过分析将领先的量子校正计算为$φ^4 $扭结的形式。我们总体上以及在超偏见的梅森案例中讨论其特性，并对我们的结果进行数值检查。
Recently, Jarah has constructed the kink form factor relevant to the scattering of an ultrarelativistic meson with an arbitrary nonrelativistic scalar kink. However the formula was only applied to the Sine-Gordon model, where the form factor was long ago determined by Weisz using integrability. In this paper, using various known analytic results for the (1+1)-dimensional real scalar $Φ^4$ model and a kink wave packet construction, we analytically calculate the leading quantum correction to the form factor of the $Φ^4$ kink. We discuss its properties in general and also in the ultra-relativistic meson case and provide a numerical check of our results.
