论文标题
自我互动矢量领域的凯奇问题的适应性
The well-posedness of the Cauchy problem for self-interacting vector fields
论文作者
论文摘要
我们指出，用于自相互作用矢量字段的初始值（Cauchy）问题提出了与一阶导数自我相互作用标量字段相同的适合性问题（通常称为$ k $ - 词）。对于后者，在过去的几年中，已经采用了合适的策略来在红外理论水平上成功地进化库奇问题，而无需明确的紫外线完成。我们认为，相同的技术也可以应用于自我互动矢量领域，避免了文献中最近发现的许多问题和“病理”。
We point out that the initial-value (Cauchy) problem for self-interacting vector fields presents the same well-posedness issues as for first-order derivative self-interacting scalar fields (often referred to as $k$-essence). For the latter, suitable strategies have been employed in the last few years to successfully evolve the Cauchy problem at the level of the infrared theory, without the need for an explicit ultraviolet completion. We argue that the very same techniques can also be applied to self-interacting vector fields, avoiding a number of issues and "pathologies" recently found in the literature.
