论文标题
关于经典有效领域理论的全球行为
On global behaviour of classical effective field theories
论文作者
论文摘要
我们继续对最近在Reall和Warnick [RW22]的工作中启动的经典有效现场理论（EFT）进行了严格的研究。我们在高质量极限的有效规范下研究了一个具有一个光和一个厚场的系统，并证明了（紫外线解决方案）的全球存在。此外，我们证明了全局解决方案线性散射（从Lax-philips意义上），并且最终状态在质量的反向方面具有扩展，并且可以单独从EFT方程中恢复。
We continue the rigorous study of classical effective field theories (EFTs) that was recently initiated in the work of Reall and Warnick [RW22]. We study a system with one light and one heavy field with cubic coupling and prove global existence (of the UV solution) under an effective norm in the high mass limit. Furthermore, we prove that the global solution linearly scatters (in Lax-Philips sense) and that this final state has an expansion in inverse powers of the mass, and can be recovered from the EFT equation alone.
