The well-posedness of the Cauchy problem for self-interacting vector fields

The well-posedness of the Cauchy problem for self-interacting vector fields
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自相互作用向量场柯西问题的适定性

DOI:
10.1088/1475-7516/2022/11/050
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发表时间:
2022
影响因子:
6.4
通讯作者:
Guillermo Lara
Guillermo Lara
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
E. Barausse;Miguel Bezares;M. Crisostomi;Guillermo Lara

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我们指出,自相互作用向量场的初值(柯西)问题提出了相同的适定性问题的一阶导数自相互作用标量场(通常被称为k-本质)。对于后者,在过去的几年中,已经采用了合适的策略,成功地在红外理论的水平上发展柯西问题,而不需要明确的紫外线完成。我们认为,同样的技术也可以应用于自相互作用的矢量场,避免了一些问题和“病理”最近发现的文献。
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.
用于模拟标量伽利略的适定 UV 补全
DOI: 10.1103/physrevd.106.043522
发表时间: 2022
期刊: Physical Review D
影响因子: 5
作者:
Gerhardinger, Mary;Giblin, John T.;Tolley, Andrew J.;Trodden, Mark
通讯作者: Trodden, Mark