带边界的四次模型的重正化、截断与粘合
Renormalization, cutoff, and gluing for a quartic model with boundary
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中文总结 AI 辅助
本文研究三维带边界紧致连通黎曼流形上四次模型的重正化，发现需考虑含奇异系数的边界贡献以扩展经典作用量，且流形粘合的一致性要求需对边界算子进行重正化。
中文摘要 AI 辅助
本文研究三维带边界紧致连通黎曼流形上四次模型的重正化，表明除质量参数的标准平移外，还需考虑含奇异系数的边界贡献，这说明需在标准重正化理论框架内扩展经典作用量；流形粘合的一致性要求导致边界上某一算子的重正化。
英文摘要
In this paper, we study the renormalization of a three-dimensional quartic model on a compact connected Riemannian manifold with a boundary. We show that, in addition to the standard shift of the mass parameter, it is necessary to take into account boundary contributions involving singular coefficients. This indicates the need to extend the classical action within the framework of standard renormalization theory. The requirements of consistency regarding the gluing of manifolds lead to renormalization of an operator on the boundary.
发表机构
- St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences（圣彼得堡列别杰夫数学研究所）
- Saint Petersburg State University（圣彼得堡国立大学）
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