多分量标量场及其运动方程的完全因式分解
Multi-component scalar fields and the complete factorization of its equations of motion
摘要：
在Bazeia D.例如，EPL，119（2017）61002，作者证明了二阶运动微分运动方程与Bogomolnyi型一阶微分方程族之间的等价性，适用于具有非正则动力学的单实数和复标量场理论。本文的目的是证明这种等价对于更一般的实标量场模型也是有效的。我们开始的文件，证明在一个单一的实标量模型的等价性。第一个目标是将Bazeia等人在论文中提出的等价性推广到一个没有拉格朗日量具体形式的单一实标量场模型。第二个目标是使用第一个演示中提出的设置来表明，这种等价性也可以在真实的多分量标量场模型中实现，而无需其拉格朗日量的特定形式。本文的主要目标是表明，这种等价性可以实现在真正的标量场的情况下，可以是标准的，或非标准的，单，或多分量，标量场。
英文摘要：
In the paper by Bazeia D. et al., EPL, 119 (2017) 61002, the authors demonstrate the equivalence between the second-order differential equation of motion and a family of first-order differential equations of Bogomolnyi type for the cases of single real and complex scalar field theories with non-canonical dynamics. The goal of this paper is to demonstrate that this equivalence is also valid for a more general classes of real scalar field models. We start the paper by demonstrating the equivalence in a single real scalar model. The first goal is to generalize the equivalence presented in papers by Bazeia et al. to a single real scalar field model without a specific form for its Lagrangian. The second goal is to use the setup presented in the first demonstration to show that this equivalence can be achieved also in a real multi-component scalar field model again without a specific form for its Lagrangian. The main goal of this paper is to show that this equivalence can be achieved in real scalar field scenarios that can be standard, or non-standard, with single, or multi-component, scalar fields.
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